113580000 has 180 divisors, whose sum is σ = 404251848. Its totient is φ = 30240000.

The previous prime is 113579953. The next prime is 113580023. The reversal of 113580000 is 85311.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (180).

It is a Harshad number since it is a multiple of its sum of digits (18).

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 29 ways as a sum of consecutive naturals, for example, 179685 + ... + 180315.

Almost surely, 2^113580000 is an apocalyptic number.

113580000 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 113580000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202125924).

113580000 is an abundant number, since it is smaller than the sum of its proper divisors (290671848).

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

113580000 is an equidigital number, since it uses as much as digits as its factorization.

113580000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 667 (or 641 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 113580000 is about 10657.3918009990. The cubic root of 113580000 is about 484.2845582093.

The spelling of 113580000 in words is "one hundred thirteen million, five hundred eighty thousand".