113904000 has 384 divisors, whose sum is σ = 471631680. Its totient is φ = 25804800.

The previous prime is 113903989. The next prime is 113904001. The reversal of 113904000 is 409311.

It is a tau number, because it is divible by the number of its divisors (384).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113904001) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1007944 + ... + 1008056.

Almost surely, 2^113904000 is an apocalyptic number.

113904000 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 113904000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235815840).

113904000 is an abundant number, since it is smaller than the sum of its proper divisors (357727680).

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

113904000 is a wasteful number, since it uses less digits than its factorization.

113904000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 108, while the sum is 18.

The square root of 113904000 is about 10672.5816932924. The cubic root of 113904000 is about 484.7446134811.

The spelling of 113904000 in words is "one hundred thirteen million, nine hundred four thousand".