115316027136 has 216 divisors, whose sum is σ = 345806732544. Its totient is φ = 38326348800.

The previous prime is 115316027059. The next prime is 115316027173. The reversal of 115316027136 is 631720613511.

115316027136 is a `hidden beast` number, since 1 + 1 + 5 + 31 + 602 + 7 + 13 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×115316027136² (a number of 23 digits) contains 22 as substring.

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 115316027136.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 22827811 + ... + 22832861.

Almost surely, 2^115316027136 is an apocalyptic number.

115316027136 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 115316027136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172903366272).

115316027136 is an abundant number, since it is smaller than the sum of its proper divisors (230490705408).

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

115316027136 is an frugal number, since it uses more digits than its factorization.

115316027136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5449 (or 5423 counting only the distinct ones).

The product of its (nonzero) digits is 22680, while the sum is 36.

The spelling of 115316027136 in words is "one hundred fifteen billion, three hundred sixteen million, twenty-seven thousand, one hundred thirty-six".