113242752 has 256 divisors, whose sum is σ = 396902400. Its totient is φ = 31104000.

The previous prime is 113242751. The next prime is 113242757. The reversal of 113242752 is 257242311.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (113242751) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 749877 + ... + 750027.

It is an arithmetic number, because the mean of its divisors is an integer number (1550400).

Almost surely, 2^113242752 is an apocalyptic number.

113242752 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 113242752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (198451200).

113242752 is an abundant number, since it is smaller than the sum of its proper divisors (283659648).

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

113242752 is a wasteful number, since it uses less digits than its factorization.

113242752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 212 (or 194 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 113242752 is about 10641.5577807011. The cubic root of 113242752 is about 483.8047615430.

The spelling of 113242752 in words is "one hundred thirteen million, two hundred forty-two thousand, seven hundred fifty-two".