113724160 has 144 divisors (see below), whose sum is σ = 305962272. Its totient is φ = 40140800.

The previous prime is 113724157. The next prime is 113724173. The reversal of 113724160 is 61427311.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 577182 + ... + 577378.

It is an arithmetic number, because the mean of its divisors is an integer number (2124738).

Almost surely, 2^113724160 is an apocalyptic number.

113724160 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 113724160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (152981136).

113724160 is an abundant number, since it is smaller than the sum of its proper divisors (192238112).

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

113724160 is a wasteful number, since it uses less digits than its factorization.

113724160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 270 (or 256 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 113724160 is about 10664.1530371615. The cubic root of 113724160 is about 484.4893622994.

The spelling of 113724160 in words is "one hundred thirteen million, seven hundred twenty-four thousand, one hundred sixty".