Is it normal to not be bothered by death?
Depends.It depends
Yes, some people feel calm or accepting about death rather than afraid of it. It’s worth paying attention if “not bothered” means you don’t care whether you live or feel emotionally numb about everything.
People relate to death in very different ways. You might see it as a natural part of life, be more focused on the present, or simply not feel much fear about something abstract. You don’t have to feel a particular way for your reaction to be normal.
There’s a difference between being at peace with mortality and feeling like your own life doesn’t matter. If it’s the latter—or you’re thinking about harming yourself—tell someone you trust and reach out for support now. You don’t have to handle that feeling alone.