113535520 has 192 divisors, whose sum is σ = 333123840. Its totient is φ = 35684352.

The previous prime is 113535509. The next prime is 113535553. The reversal of 113535520 is 25535311.

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, 1275636 + ... + 1275724.

It is an arithmetic number, because the mean of its divisors is an integer number (1735020).

Almost surely, 2^113535520 is an apocalyptic number.

113535520 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 113535520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166561920).

113535520 is an abundant number, since it is smaller than the sum of its proper divisors (219588320).

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

113535520 is a wasteful number, since it uses less digits than its factorization.

113535520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 195 (or 187 counting only the distinct ones).

The product of its (nonzero) digits is 2250, while the sum is 25.

The square root of 113535520 is about 10655.3047821261. The cubic root of 113535520 is about 484.2213317325.

The spelling of 113535520 in words is "one hundred thirteen million, five hundred thirty-five thousand, five hundred twenty".