2.135 is the width. If it will fit in the drop outs and the tire can also grab the rim with the bead OK, that is the question. There could be specs that mention width of something or whatever of the manufacturer of the rim to list range of tire width that could tell if maybe OK to use. Also maybe some other tire specs to see if compatible.
I am using 1.95 which is wider than the smaller width 1.75 that I could use. When I bought a new rim with heavier gauge spokes, 12 instead of 14 so my belt drive sheave could be used, I checked and they had it listed to accept the 1.95 width was included in the specs.
The tubes also have a range of size tire that they can inflate. If a tube is used that does not allow for a wider tire width it possibly can cause a blow out even if the tire was OK to start with. Also if that happened, then subsequently the otherwise good tire that has the blow out could have the bead damaged due to the blow out.
Even if not immediately at moment of blow out, could the bead be damaged, the time it takes if the bike was rolling at the time, means that tire gets mangled by a rim under the weight of bike and rider.
The last thing mentioned is what happened I suspect to me, but only with a 3 or 4 year old tire after a slow leak when the tube cracked after be used for long heavy use and I did not come to a stop quickly and get the tire UN-weighted to protect the bead.
Anyway that sucks if the shop thinks there should be no compensation for if the reason is that it was how it was ridden.
I was having a bit of difficulty with the synthetic bead on the fold up tire to get it to stay in the rim before I inflated it, but when I got it to stay I rode it and it worked great. You can't take a wire bead tire and bend it much before I have to say I would not use it.
Also making sure the tube is not got a fold in it when it gets inflated. I install the tube with partial inflation and with pure talc that I dust the tube and tire with. I inflate with low pressure and then bounce the tire and cup my hands around the beed. Then deflate mostly and then inflate to full pressure to help keep best uniformity of tube in the tire without fold of the tube you can't see developing.
Check to see if the rim is damaged. I know I bounce my wheels over some rough stuff and I even took a rock as a make shift hammer along with some cardboard to see if I might make the rim take a better shape than it was in one particular spot. Truing the wheel I do know is needed and probably some spokes changed out as well. Some have dents in the spokes from abuse. That I could not do anthing about on the trail. I carry only so much in the backpack.
https://www.kmart.com/schwinn-26inc...VA7nACh2ONQ-CEAQYAiABEgK0SvD_BwE&gclsrc=aw.ds
The above tire I paid 19.99 but if you buy online and pickup in store it is 2.00 less at 17.99. Anyway I have to remember that as I have a mobile phone that access the internet. This is a Shwinn Knobby Tire and so far I am sold. Next time out going far I can carry spare folded in the backpack. Just wish I had both front and rear same rim size. Front is 24 inch, possibly due to shocks on the fork, while rear tire is 26 inch.
MT
Last year rode from lower altitude up to some lightly dusted snow on side of dirt road.
https://motorbicycling.com/attachments/1117171601a_film1-jpg.96720/ 
