113852772 has 108 divisors (see below), whose sum is σ = 322423920. Its totient is φ = 33839520.

The previous prime is 113852749. The next prime is 113852773. The reversal of 113852772 is 277258311.

113852772 is a `hidden beast` number, since 1 + 1 + 385 + 277 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (113852773) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 256783 + ... + 257225.

Almost surely, 2^113852772 is an apocalyptic number.

113852772 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 113852772, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161211960).

113852772 is an abundant number, since it is smaller than the sum of its proper divisors (208571148).

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

113852772 is a wasteful number, since it uses less digits than its factorization.

113852772 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 534 (or 518 counting only the distinct ones).

The product of its digits is 23520, while the sum is 36.

The square root of 113852772 is about 10670.1814417563. The cubic root of 113852772 is about 484.6719317468.

The spelling of 113852772 in words is "one hundred thirteen million, eight hundred fifty-two thousand, seven hundred seventy-two".