This really ventures into folklore.
Inasmuch as the “angel of death” is mentioned in scripture, it is just a personification of death itself (not a real personal being) or is a manifestation of God.
Some angel may specifically be assigned to “death” like angels are assigned to people, and nations, and groups…but there is no particular teaching on this…
Satan is an angel of death, obviously, as are all demons.
But then again “angel of death” is also the hand of God himself.