113939136 has 140 divisors (see below), whose sum is σ = 349138240. Its totient is φ = 36702720.

The previous prime is 113939131. The next prime is 113939153. The reversal of 113939136 is 631939311.

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 113939136.

It is not an unprimeable number, because it can be changed into a prime (113939131) by changing a digit.

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 19 ways as a sum of consecutive naturals, for example, 160350 + ... + 161058.

Almost surely, 2^113939136 is an apocalyptic number.

113939136 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 113939136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174569120).

113939136 is an abundant number, since it is smaller than the sum of its proper divisors (235199104).

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

113939136 is an equidigital number, since it uses as much as digits as its factorization.

113939136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 764 (or 745 counting only the distinct ones).

The product of its digits is 13122, while the sum is 36.

The square root of 113939136 is about 10674.2276535588. The cubic root of 113939136 is about 484.7944514609.

The spelling of 113939136 in words is "one hundred thirteen million, nine hundred thirty-nine thousand, one hundred thirty-six".