113520 has 80 divisors (see below), whose sum is σ = 392832. Its totient is φ = 26880.

The previous prime is 113513. The next prime is 113537. The reversal of 113520 is 25311.

It is a tau number, because it is divible by the number of its divisors (80).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 113496 and 113505.

It is a congruent number.

It is an unprimeable number.

113520 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2619 + ... + 2661.

2¹¹³⁵²⁰ is an apocalyptic number.

113520 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 113520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196416).

113520 is an abundant number, since it is smaller than the sum of its proper divisors (279312).

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

113520 is a wasteful number, since it uses less digits than its factorization.

113520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 70 (or 64 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 113520 is about 336.9272918598. The cubic root of 113520 is about 48.4199266809.

Adding to 113520 its reverse (25311), we get a palindrome (138831).

Subtracting from 113520 its reverse (25311), we obtain a square (88209 = 297²).

The spelling of 113520 in words is "one hundred thirteen thousand, five hundred twenty".