113656920 has 128 divisors (see below), whose sum is σ = 376367040. Its totient is φ = 27279360.

The previous prime is 113656909. The next prime is 113656927. The reversal of 113656920 is 29656311.

It is a happy number.

It is a Cunningham number, because it is equal to 10661²-1.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113656927) 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 31 ways as a sum of consecutive naturals, for example, 63072 + ... + 64848.

Almost surely, 2^113656920 is an apocalyptic number.

113656920 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 113656920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188183520).

113656920 is an abundant number, since it is smaller than the sum of its proper divisors (262710120).

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

113656920 is a wasteful number, since it uses less digits than its factorization.

113656920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1845 (or 1841 counting only the distinct ones).

The product of its (nonzero) digits is 9720, while the sum is 33.

The square root of 113656920 is about 10660.9999531001. Note that the first 4 decimals coincide. The cubic root of 113656920 is about 484.3938578576.

The spelling of 113656920 in words is "one hundred thirteen million, six hundred fifty-six thousand, nine hundred twenty".