113520000 has 320 divisors, whose sum is σ = 420615360. Its totient is φ = 26880000.

The previous prime is 113519977. The next prime is 113520031. The reversal of 113520000 is 25311.

It is a tau number, because it is divible by the number of its divisors (320).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 2639979 + ... + 2640021.

It is an arithmetic number, because the mean of its divisors is an integer number (1314423).

Almost surely, 2^113520000 is an apocalyptic number.

113520000 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 113520000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210307680).

113520000 is an abundant number, since it is smaller than the sum of its proper divisors (307095360).

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

113520000 is an equidigital number, since it uses as much as digits as its factorization.

113520000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 91 (or 64 counting only the distinct ones).

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

The square root of 113520000 is about 10654.5764814938. The cubic root of 113520000 is about 484.1992668095.

Adding to 113520000 its reverse (25311), we get a palindrome (113545311).

The spelling of 113520000 in words is "one hundred thirteen million, five hundred twenty thousand".