113731920 has 120 divisors (see below), whose sum is σ = 385071336. Its totient is φ = 30081024.

The previous prime is 113731913. The next prime is 113731949. The reversal of 113731920 is 29137311.

It can be written as a sum of positive squares in 4 ways, for example, as 28132416 + 85599504 = 5304^2 + 9252^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 98064 + ... + 99216.

Almost surely, 2^113731920 is an apocalyptic number.

113731920 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 113731920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192535668).

113731920 is an abundant number, since it is smaller than the sum of its proper divisors (271339416).

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

113731920 is a wasteful number, since it uses less digits than its factorization.

113731920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1309 (or 1300 counting only the distinct ones).

The product of its (nonzero) digits is 1134, while the sum is 27.

The square root of 113731920 is about 10664.5168666940. The cubic root of 113731920 is about 484.5003818047.

The spelling of 113731920 in words is "one hundred thirteen million, seven hundred thirty-one thousand, nine hundred twenty".