113800752 has 240 divisors, whose sum is σ = 370476288. Its totient is φ = 32348160.

The previous prime is 113800751. The next prime is 113800787. The reversal of 113800752 is 257008311.

It is a super-2 number, since 2×113800752² = 25901222311531008, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (113800751) 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, 2147158 + ... + 2147210.

Almost surely, 2^113800752 is an apocalyptic number.

113800752 is a gapful number since it is divisible by the number (12) 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 113800752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185238144).

113800752 is an abundant number, since it is smaller than the sum of its proper divisors (256675536).

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

113800752 is a wasteful number, since it uses less digits than its factorization.

113800752 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 1680, while the sum is 27.

The square root of 113800752 is about 10667.7435289756. The cubic root of 113800752 is about 484.5981040178.

The spelling of 113800752 in words is "one hundred thirteen million, eight hundred thousand, seven hundred fifty-two".