113880000 has 280 divisors, whose sum is σ = 411030928. Its totient is φ = 27648000.

The previous prime is 113879989. The next prime is 113880007. The reversal of 113880000 is 88311.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113880007) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 1559964 + ... + 1560036.

Almost surely, 2^113880000 is an apocalyptic number.

113880000 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 113880000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205515464).

113880000 is an abundant number, since it is smaller than the sum of its proper divisors (297150928).

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

113880000 is an equidigital number, since it uses as much as digits as its factorization.

113880000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 121 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 192, while the sum is 21.

The square root of 113880000 is about 10671.4572575633. The cubic root of 113880000 is about 484.7105652536.

The spelling of 113880000 in words is "one hundred thirteen million, eight hundred eighty thousand".