113519520 has 144 divisors (see below), whose sum is σ = 400038912. Its totient is φ = 29283840.

The previous prime is 113519501. The next prime is 113519521. The reversal of 113519520 is 25915311.

113519520 is a `hidden beast` number, since 1 + 135 + 1 + 9 + 520 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is not an unprimeable number, because it can be changed into a prime (113519521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43369 + ... + 45911.

It is an arithmetic number, because the mean of its divisors is an integer number (2778048).

Almost surely, 2^113519520 is an apocalyptic number.

113519520 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 113519520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (200019456).

113519520 is an abundant number, since it is smaller than the sum of its proper divisors (286519392).

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

113519520 is a wasteful number, since it uses less digits than its factorization.

113519520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2595 (or 2584 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 27.

The square root of 113519520 is about 10654.5539559383. The cubic root of 113519520 is about 484.1985843571.

The spelling of 113519520 in words is "one hundred thirteen million, five hundred nineteen thousand, five hundred twenty".