113615136 has 144 divisors (see below), whose sum is σ = 353152800. Its totient is φ = 35831808.

The previous prime is 113615113. The next prime is 113615143. The reversal of 113615136 is 631516311.

113615136 is a `hidden beast` number, since 1 + 13 + 615 + 1 + 36 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 147360 + ... + 148128.

It is an arithmetic number, because the mean of its divisors is an integer number (2452450).

Almost surely, 2^113615136 is an apocalyptic number.

113615136 is a gapful number since it is divisible by the number (16) 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 113615136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176576400).

113615136 is an abundant number, since it is smaller than the sum of its proper divisors (239537664).

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

113615136 is an equidigital number, since it uses as much as digits as its factorization.

113615136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 813 (or 793 counting only the distinct ones).

The product of its digits is 1620, while the sum is 27.

The square root of 113615136 is about 10659.0401068764. The cubic root of 113615136 is about 484.3344909085.

The spelling of 113615136 in words is "one hundred thirteen million, six hundred fifteen thousand, one hundred thirty-six".