113615920 has 160 divisors (see below), whose sum is σ = 305980416. Its totient is φ = 38860800.

The previous prime is 113615897. The next prime is 113615921. The reversal of 113615920 is 29516311.

It is not an unprimeable number, because it can be changed into a prime (113615921) 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 31 ways as a sum of consecutive naturals, for example, 1695727 + ... + 1695793.

Almost surely, 2^113615920 is an apocalyptic number.

113615920 is a gapful number since it is divisible by the number (10) 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 113615920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152990208).

113615920 is an abundant number, since it is smaller than the sum of its proper divisors (192364496).

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

113615920 is a wasteful number, since it uses less digits than its factorization.

113615920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1620, while the sum is 28.

The square root of 113615920 is about 10659.0768831077. The cubic root of 113615920 is about 484.3356049542.

The spelling of 113615920 in words is "one hundred thirteen million, six hundred fifteen thousand, nine hundred twenty".