113152 has 40 divisors (see below), whose sum is σ = 257796. Its totient is φ = 49152.

The previous prime is 113149. The next prime is 113153. The reversal of 113152 is 251311.

It can be written as a sum of positive squares in 2 ways, for example, as 112896 + 256 = 336^2 + 16^2 .

It is a Harshad number since it is a multiple of its sum of digits (13).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (113153) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 6648 + ... + 6664.

2¹¹³¹⁵² 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 113152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (128898).

113152 is an abundant number, since it is smaller than the sum of its proper divisors (144644).

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

113152 is an equidigital number, since it uses as much as digits as its factorization.

113152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48 (or 32 counting only the distinct ones).

The product of its digits is 30, while the sum is 13.

The square root of 113152 is about 336.3807366661. The cubic root of 113152 is about 48.3675487681.

Adding to 113152 its reverse (251311), we get a palindrome (364463).

The spelling of 113152 in words is "one hundred thirteen thousand, one hundred fifty-two".