113538720 has 96 divisors (see below), whose sum is σ = 364476672. Its totient is φ = 29699072.

The previous prime is 113538701. The next prime is 113538769. The reversal of 113538720 is 27835311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23209 + ... + 27671.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2^113538720 is an apocalyptic number.

113538720 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 113538720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182238336).

113538720 is an abundant number, since it is smaller than the sum of its proper divisors (250937952).

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

113538720 is a wasteful number, since it uses less digits than its factorization.

113538720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4534 (or 4526 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 30.

The square root of 113538720 is about 10655.4549410150. The cubic root of 113538720 is about 484.2258809511.

The spelling of 113538720 in words is "one hundred thirteen million, five hundred thirty-eight thousand, seven hundred twenty".