113741521920 has 1320 divisors, whose sum is σ = 472664074344. Its totient is φ = 25990004736.

The previous prime is 113741521889. The next prime is 113741521951. The reversal of 113741521920 is 29125147311.

It is a happy number.

113741521920 is a `hidden beast` number, since 1 + 1 + 3 + 7 + 41 + 521 + 92 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (113741521889) and next prime (113741521951).

It can be written as a sum of positive squares in 12 ways, for example, as 11914159104 + 101827362816 = 109152^2 + 319104^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 1558103004 + ... + 1558103076.

Almost surely, 2^113741521920 is an apocalyptic number.

113741521920 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 113741521920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (236332037172).

113741521920 is an abundant number, since it is smaller than the sum of its proper divisors (358922552424).

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

113741521920 is a wasteful number, since it uses less digits than its factorization.

113741521920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 113 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 36.

The spelling of 113741521920 in words is "one hundred thirteen billion, seven hundred forty-one million, five hundred twenty-one thousand, nine hundred twenty".