115140272256 has 256 divisors, whose sum is σ = 344075212800. Its totient is φ = 37903057920.

The previous prime is 115140272197. The next prime is 115140272353. The reversal of 115140272256 is 652272041511.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 115140272256.

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, 119069085 + ... + 119070051.

It is an arithmetic number, because the mean of its divisors is an integer number (1344043800).

Almost surely, 2^115140272256 is an apocalyptic number.

115140272256 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 115140272256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172037606400).

115140272256 is an abundant number, since it is smaller than the sum of its proper divisors (228934940544).

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

115140272256 is a wasteful number, since it uses less digits than its factorization.

115140272256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1384 (or 1366 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 36.

The spelling of 115140272256 in words is "one hundred fifteen billion, one hundred forty million, two hundred seventy-two thousand, two hundred fifty-six".