113536720 has 120 divisors (see below), whose sum is σ = 298933992. Its totient is φ = 40043520.

The previous prime is 113536699. The next prime is 113536733. The reversal of 113536720 is 27635311.

It can be written as a sum of positive squares in 4 ways, for example, as 8433216 + 105103504 = 2904^2 + 10252^2 .

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, 358002 + ... + 358318.

Almost surely, 2^113536720 is an apocalyptic number.

113536720 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 113536720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149466996).

113536720 is an abundant number, since it is smaller than the sum of its proper divisors (185397272).

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

113536720 is a wasteful number, since it uses less digits than its factorization.

113536720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 389 (or 372 counting only the distinct ones).

The product of its (nonzero) digits is 3780, while the sum is 28.

The square root of 113536720 is about 10655.3610919574. The cubic root of 113536720 is about 484.2230376995.

The spelling of 113536720 in words is "one hundred thirteen million, five hundred thirty-six thousand, seven hundred twenty".