113509920 has 48 divisors (see below), whose sum is σ = 357557760. Its totient is φ = 30269184.

The previous prime is 113509919. The next prime is 113509931. The reversal of 113509920 is 29905311.

It is a tau number, because it is divible by the number of its divisors (48).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 117760 + ... + 118719.

It is an arithmetic number, because the mean of its divisors is an integer number (7449120).

Almost surely, 2^113509920 is an apocalyptic number.

113509920 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

113509920 is an abundant number, since it is smaller than the sum of its proper divisors (244047840).

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

113509920 is a wasteful number, since it uses less digits than its factorization.

113509920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 236497 (or 236489 counting only the distinct ones).

The product of its (nonzero) digits is 2430, while the sum is 30.

The square root of 113509920 is about 10654.1034348274. The cubic root of 113509920 is about 484.1849349059.

The spelling of 113509920 in words is "one hundred thirteen million, five hundred nine thousand, nine hundred twenty".