115607162736 has 160 divisors (see below), whose sum is σ = 366078027840. Its totient is φ = 34703769600.

The previous prime is 115607162719. The next prime is 115607162779. The reversal of 115607162736 is 637261706511.

115607162736 is a `hidden beast` number, since 1 + 1 + 5 + 607 + 1 + 6 + 2 + 7 + 36 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 115607162691 and 115607162700.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 20785 + ... + 481296.

It is an arithmetic number, because the mean of its divisors is an integer number (2287987674).

Almost surely, 2^115607162736 is an apocalyptic number.

115607162736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115607162736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (183039013920).

115607162736 is an abundant number, since it is smaller than the sum of its proper divisors (250470865104).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

115607162736 is a wasteful number, since it uses less digits than its factorization.

115607162736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 502152 (or 502140 counting only the distinct ones).

The product of its (nonzero) digits is 317520, while the sum is 45.

The spelling of 115607162736 in words is "one hundred fifteen billion, six hundred seven million, one hundred sixty-two thousand, seven hundred thirty-six".