113157120 has 176 divisors, whose sum is σ = 371407680. Its totient is φ = 29392896.

The previous prime is 113157119. The next prime is 113157133. The reversal of 113157120 is 21751311.

It is a happy number.

It is a congruent number.

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, 814011 + ... + 814149.

Almost surely, 2^113157120 is an apocalyptic number.

113157120 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 113157120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185703840).

113157120 is an abundant number, since it is smaller than the sum of its proper divisors (258250560).

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

113157120 is a wasteful number, since it uses less digits than its factorization.

113157120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 202 counting only the distinct ones).

The product of its (nonzero) digits is 210, while the sum is 21.

The square root of 113157120 is about 10637.5335487133. The cubic root of 113157120 is about 483.6827828272.

The spelling of 113157120 in words is "one hundred thirteen million, one hundred fifty-seven thousand, one hundred twenty".