115756128 has 240 divisors, whose sum is σ = 375417504. Its totient is φ = 34836480.

The previous prime is 115756127. The next prime is 115756229. The reversal of 115756128 is 821657511.

115756128 is a `hidden beast` number, since 1 + 1 + 575 + 61 + 28 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 115756092 and 115756101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (115756127) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1630333 + ... + 1630403.

Almost surely, 2^115756128 is an apocalyptic number.

115756128 is a gapful number since it is divisible by the number (18) 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 115756128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187708752).

115756128 is an abundant number, since it is smaller than the sum of its proper divisors (259661376).

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

115756128 is a wasteful number, since it uses less digits than its factorization.

115756128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 130 counting only the distinct ones).

The product of its digits is 16800, while the sum is 36.

The square root of 115756128 is about 10759.0021842176. The cubic root of 115756128 is about 487.3578852023.

The spelling of 115756128 in words is "one hundred fifteen million, seven hundred fifty-six thousand, one hundred twenty-eight".