113408000 has 96 divisors (see below), whose sum is σ = 283636080. Its totient is φ = 45260800.

The previous prime is 113407993. The next prime is 113408011. The reversal of 113408000 is 804311.

It is a happy number.

It is a super-2 number, since 2×113408000² = 25722748928000000, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 113408000.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 255779 + ... + 256221.

Almost surely, 2^113408000 is an apocalyptic number.

113408000 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 113408000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141818040).

113408000 is an abundant number, since it is smaller than the sum of its proper divisors (170228080).

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

113408000 is an frugal number, since it uses more digits than its factorization.

113408000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 480 (or 450 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 17.

The square root of 113408000 is about 10649.3192270680. The cubic root of 113408000 is about 484.0399757524.

The spelling of 113408000 in words is "one hundred thirteen million, four hundred eight thousand".