113015952 has 240 divisors, whose sum is σ = 398635200. Its totient is φ = 30481920.

The previous prime is 113015941. The next prime is 113015953. The reversal of 113015952 is 259510311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113015953) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 402052 + ... + 402332.

It is an arithmetic number, because the mean of its divisors is an integer number (1660980).

Almost surely, 2^113015952 is an apocalyptic number.

113015952 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 113015952, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199317600).

113015952 is an abundant number, since it is smaller than the sum of its proper divisors (285619248).

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

113015952 is a wasteful number, since it uses less digits than its factorization.

113015952 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 331 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 113015952 is about 10630.8961052209. The cubic root of 113015952 is about 483.4815613014.

The spelling of 113015952 in words is "one hundred thirteen million, fifteen thousand, nine hundred fifty-two".