113957600 has 72 divisors (see below), whose sum is σ = 280091448. Its totient is φ = 45273600.

The previous prime is 113957527. The next prime is 113957603. The reversal of 113957600 is 6759311.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113957603) 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, 144407 + ... + 145193.

It is an arithmetic number, because the mean of its divisors is an integer number (3890159).

Almost surely, 2^113957600 is an apocalyptic number.

113957600 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 113957600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140045724).

113957600 is an abundant number, since it is smaller than the sum of its proper divisors (166133848).

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

113957600 is a wasteful number, since it uses less digits than its factorization.

113957600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 988 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 5670, while the sum is 32.

The square root of 113957600 is about 10675.0925054540. The cubic root of 113957600 is about 484.8206372579.

The spelling of 113957600 in words is "one hundred thirteen million, nine hundred fifty-seven thousand, six hundred".