113808000 has 128 divisors (see below), whose sum is σ = 377432640. Its totient is φ = 30336000.

The previous prime is 113807999. The next prime is 113808001. The reversal of 113808000 is 808311.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (113807999) and next prime (113808001).

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (113808001) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 46815 + ... + 49185.

Almost surely, 2^113808000 is an apocalyptic number.

113808000 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 113808000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188716320).

113808000 is an abundant number, since it is smaller than the sum of its proper divisors (263624640).

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

113808000 is an equidigital number, since it uses as much as digits as its factorization.

113808000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2403 (or 2381 counting only the distinct ones).

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

The square root of 113808000 is about 10668.0832392703. The cubic root of 113808000 is about 484.6083918599.

The spelling of 113808000 in words is "one hundred thirteen million, eight hundred eight thousand".