113813152 has 36 divisors (see below), whose sum is σ = 231593418. Its totient is φ = 55056000.

The previous prime is 113813143. The next prime is 113813153. The reversal of 113813152 is 251318311.

It can be written as a sum of positive squares in only one way, i.e., 100881936 + 12931216 = 10044^2 + 3596^2 .

It is not an unprimeable number, because it can be changed into a prime (113813153) 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 5 ways as a sum of consecutive naturals, for example, 28902 + ... + 32602.

Almost surely, 2^113813152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 113813152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (115796709).

113813152 is an abundant number, since it is smaller than the sum of its proper divisors (117780266).

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

113813152 is an equidigital number, since it uses as much as digits as its factorization.

113813152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3773 (or 3734 counting only the distinct ones).

The product of its digits is 720, while the sum is 25.

The square root of 113813152 is about 10668.3247044698. The cubic root of 113813152 is about 484.6157043650.

The spelling of 113813152 in words is "one hundred thirteen million, eight hundred thirteen thousand, one hundred fifty-two".