115934257152 has 672 divisors, whose sum is σ = 421344547200. Its totient is φ = 31324962816.

The previous prime is 115934257141. The next prime is 115934257183. The reversal of 115934257152 is 251752439511.

115934257152 is a `hidden beast` number, since 1 + 1 + 593 + 4 + 2 + 5 + 7 + 1 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×115934257152² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 115934257098 and 115934257107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 205922023 + ... + 205922585.

Almost surely, 2^115934257152 is an apocalyptic number.

115934257152 is a gapful number since it is divisible by the number (12) 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 115934257152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210672273600).

115934257152 is an abundant number, since it is smaller than the sum of its proper divisors (305410290048).

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

115934257152 is an equidigital number, since it uses as much as digits as its factorization.

115934257152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 631 (or 594 counting only the distinct ones).

The product of its digits is 378000, while the sum is 45.

The spelling of 115934257152 in words is "one hundred fifteen billion, nine hundred thirty-four million, two hundred fifty-seven thousand, one hundred fifty-two".