  In this paper, first, I introduce two-layered numbers. Two-layered numbers
are positive integers that their positive divisors except 1 can be partitioned
into two disjoint subsets. Similarly, I defined a half-layered number as a
positive integer n that its proper positive divisors excluding $1$ can be
partitioned into two disjoint subsets. I also investigate the properties of
two-layered and half-layered numbers and their relation with practical numbers
and Zumkeller numbers.
