113740800 has 132 divisors (see below), whose sum is σ = 376173096. Its totient is φ = 30310400.

The previous prime is 113740787. The next prime is 113740801. The reversal of 113740800 is 8047311.

It is a hoax number, since the sum of its digits (24) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (113740801) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 76060 + ... + 77540.

Almost surely, 2^113740800 is an apocalyptic number.

113740800 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 113740800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188086548).

113740800 is an abundant number, since it is smaller than the sum of its proper divisors (262432296).

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

113740800 is a wasteful number, since it uses less digits than its factorization.

113740800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1514 (or 1491 counting only the distinct ones).

The product of its (nonzero) digits is 672, while the sum is 24.

The square root of 113740800 is about 10664.9331924771. The cubic root of 113740800 is about 484.5129911391.

The spelling of 113740800 in words is "one hundred thirteen million, seven hundred forty thousand, eight hundred".