113809920 has 320 divisors, whose sum is σ = 436043520. Its totient is φ = 24772608.

The previous prime is 113809919. The next prime is 113809937. The reversal of 113809920 is 29908311.

It is a tau number, because it is divible by the number of its divisors (320).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1559004 + ... + 1559076.

It is an arithmetic number, because the mean of its divisors is an integer number (1362636).

Almost surely, 2^113809920 is an apocalyptic number.

113809920 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 113809920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (218021760).

113809920 is an abundant number, since it is smaller than the sum of its proper divisors (322233600).

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

113809920 is an equidigital number, since it uses as much as digits as its factorization.

113809920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135 (or 119 counting only the distinct ones).

The product of its (nonzero) digits is 3888, while the sum is 33.

The square root of 113809920 is about 10668.1732269400. The cubic root of 113809920 is about 484.6111170429.

The spelling of 113809920 in words is "one hundred thirteen million, eight hundred nine thousand, nine hundred twenty".