To me personally, the prospect of ceasing to exist isn't troublesome in the slightest...I don't love my life very much.
People are not terrified when they ponder the fact that they have only existed for but a brief time, but most tend to fret when facing the idea of cessation of existence. Is there any difference between their non-existence before their birth and their non-existence after their death? None; it's just that while they are alive and conscious they feel strong attachment to the world and feel the urge to continue living.
Spoken like a true nihilist. 
Then again, nihilism is the most logical way of looking at the world.
I wouldn't call myself a nihilist.
I agree with the
thesis of existential nihilism, namely that life has no
inherent purpose, meaning, or value. However, a nihilist feels that because of this there can be no meaning, purpose, or value to life whatsoever. I don't feel that way. I'm more of an atheistic existentialist.
What I am more interested in is, why exactly don't you love your life? Don't missunderstand, I'm not trying to sound condescending or anything like that, it's just I've used to think like you once (infact I've gone from complete self-loathing and hate of life to complete apathy and indiference to death in the last 2 years). I've come to realise that if death is the end of consciousness the we have as much to fear it as the basic act of sleeping. It's basically the same thing, with 1 difference being we expect to regain consciousness when morning comes.
I have also had that realization, that every time we lose consciousness we essentially experience 'death'

It's not scary at all.
The reasons for my attitude are not all that interesting...but since you asked: laziness, ADD, social anxiety, loneliness, lack of passion and enthusiasm for anything, as well as underwhelming achievements. In short: being a loser.
Haven't tried the medicine yet, though. Maybe that would alter my brain just enough.
It's not the same thing. Sleeping is very different from the end of consciousness. Brain activity, though altered, is nonetheless occurring.
Brain activity =/= consciousness.
Brain constantly does a ton of things you're never conscious of. Only consciousness is relevant here, I think.