... then letting Catwoman run him over with a truck, fold him up like a used napkin and lock him in a safe. Wile E. Coyote doesn't take that much abuse in your average Looney Toons short.
Batman Incorporated Vol 1 2
"I'm definitely wishing you guys had some sense of proportion."
To top it off, Batman arranges for Lord Death Man to be placed on a rocket and launched into space.
Why's That So Bad?
This guy is immortal, but has no other powers; there is no reason he can't be put in a regular jail. Also, it's not as if he can't feel pain and can't die; he can, he just resurrects after a little while, which means that he'll keep dying and resurrecting in an environment with no food, water or air. Forever. (Take that, due process of the law!) If you fancy the idea of returning to life every few minutes to find yourself instantly suffocating and freezing, with starvation pangs and a burning throat to boot, get on Batman's bad side.
Batman Incorporated Vol 1 2
"Oh hey, before you seal that thing, let's dump some cayenne pepper in his jock strap."