The suggestion in the closing dialogue is that Bender has guessed the new trigger word ("antiquing") and the bomb detonates, but he is still able to survive it:
Bender: (guessing the word) "Compassion"? "Shrimptoast"? "Antiquing"? [There is an explosion.] I'm alright!
The apparent assumption is that the bomb was actually a dud, or just not enough to kill Bender. I've never heard another mention of this particular bomb in other episodes, but Bender has had other explosive devises in him before. For example, in the episode Rebirth, the Professor uses a doomsday device to replace Bender's failed power source. When the device eventually overloads and explodes, Bender survives, exclaiming:
Geez, what's it take to kill me?
Yet again, an explosive device that falls short of destroying our precious bending unit.