113250600 has 144 divisors (see below), whose sum is σ = 402814620. Its totient is φ = 28416000.

The previous prime is 113250581. The next prime is 113250601. The reversal of 113250600 is 6052311.

113250600 is a `hidden beast` number, since 1 + 13 + 2 + 50 + 600 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 51753636 + 61496964 = 7194^2 + 7842^2 .

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

It is not an unprimeable number, because it can be changed into a prime (113250601) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 28750 + ... + 32450.

Almost surely, 2^113250600 is an apocalyptic number.

113250600 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 113250600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201407310).

113250600 is an abundant number, since it is smaller than the sum of its proper divisors (289564020).

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

113250600 is a wasteful number, since it uses less digits than its factorization.

113250600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3740 (or 3728 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 113250600 is about 10641.9265173182. The cubic root of 113250600 is about 483.8159375697.

The spelling of 113250600 in words is "one hundred thirteen million, two hundred fifty thousand, six hundred".