115132968 has 64 divisors (see below), whose sum is σ = 320812800. Its totient is φ = 38257920.

The previous prime is 115132957. The next prime is 115132991. The reversal of 115132968 is 869231511.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 92913 + ... + 94143.

It is an arithmetic number, because the mean of its divisors is an integer number (5012700).

Almost surely, 2^115132968 is an apocalyptic number.

115132968 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 115132968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (160406400).

115132968 is an abundant number, since it is smaller than the sum of its proper divisors (205679832).

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

115132968 is a wasteful number, since it uses less digits than its factorization.

115132968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1679 (or 1669 counting only the distinct ones).

The product of its digits is 12960, while the sum is 36.

The square root of 115132968 is about 10730.0031686855. The cubic root of 115132968 is about 486.4817658341.

The spelling of 115132968 in words is "one hundred fifteen million, one hundred thirty-two thousand, nine hundred sixty-eight".