115256736 has 384 divisors, whose sum is σ = 435456000. Its totient is φ = 28864512.

The previous prime is 115256693. The next prime is 115256747. The reversal of 115256736 is 637652511.

115256736 is a `hidden beast` number, since 11 + 52 + 567 + 36 = 666.

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 115256736.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1953475 + ... + 1953533.

It is an arithmetic number, because the mean of its divisors is an integer number (1134000).

Almost surely, 2^115256736 is an apocalyptic number.

115256736 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 115256736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217728000).

115256736 is an abundant number, since it is smaller than the sum of its proper divisors (320199264).

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

115256736 is a wasteful number, since it uses less digits than its factorization.

115256736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 107 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 115256736 is about 10735.7689990051. The cubic root of 115256736 is about 486.6560261221.

The spelling of 115256736 in words is "one hundred fifteen million, two hundred fifty-six thousand, seven hundred thirty-six".