115906752 has 168 divisors, whose sum is σ = 373892064. Its totient is φ = 34062336.

The previous prime is 115906741. The next prime is 115906753. The reversal of 115906752 is 257609511.

115906752 is a `hidden beast` number, since 1 + 1 + 590 + 67 + 5 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115906753) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 171888 + ... + 172560.

It is an arithmetic number, because the mean of its divisors is an integer number (2225548).

Almost surely, 2^115906752 is an apocalyptic number.

115906752 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 115906752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186946032).

115906752 is an abundant number, since it is smaller than the sum of its proper divisors (257985312).

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

115906752 is a wasteful number, since it uses less digits than its factorization.

115906752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 727 (or 714 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 36.

The square root of 115906752 is about 10765.9998142300. Note that the first 3 decimals coincide. The cubic root of 115906752 is about 487.5691799260.

The spelling of 115906752 in words is "one hundred fifteen million, nine hundred six thousand, seven hundred fifty-two".