113618736 has 120 divisors (see below), whose sum is σ = 396474624. Its totient is φ = 29508480.

The previous prime is 113618717. The next prime is 113618737. The reversal of 113618736 is 637816311.

113618736 is a `hidden beast` number, since 1 + 1 + 3 + 618 + 7 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 113618736.

It is not an unprimeable number, because it can be changed into a prime (113618737) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5965 + ... + 16211.

Almost surely, 2^113618736 is an apocalyptic number.

113618736 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 113618736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198237312).

113618736 is an abundant number, since it is smaller than the sum of its proper divisors (282855888).

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

113618736 is a wasteful number, since it uses less digits than its factorization.

113618736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10279 (or 10270 counting only the distinct ones).

The product of its digits is 18144, while the sum is 36.

The square root of 113618736 is about 10659.2089762796. The cubic root of 113618736 is about 484.3396063823.

The spelling of 113618736 in words is "one hundred thirteen million, six hundred eighteen thousand, seven hundred thirty-six".