Does the silver axe break in Animal Crossing New Leaf? I don't know if the silver axe breaks
Yes. The silver axe can eventually break.
The silver axe has 136 hits of durability in New Leaf. Yes it breaks.
That 137 is horribly, horribly wrong, I counted them myself with repeated silver axes I got off Club Tortimer, they're not even close to 100, try about 35 times to break, which is the same as the regular axe, the only thing that makes it different is that 100% of the time you get a rare stump.