113256 has 72 divisors (see below), whose sum is σ = 363090. Its totient is φ = 31680.

The previous prime is 113233. The next prime is 113279. The reversal of 113256 is 652311.

It is an interprime number because it is at equal distance from previous prime (113233) and next prime (113279).

It can be written as a sum of positive squares in only one way, i.e., 108900 + 4356 = 330^2 + 66^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

113256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 8706 + ... + 8718.

2¹¹³²⁵⁶ 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 113256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181545).

113256 is an abundant number, since it is smaller than the sum of its proper divisors (249834).

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

113256 is a wasteful number, since it uses less digits than its factorization.

It is an anagram of its base 7 representation: 113256 = (651123)₇.

113256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 47 (or 29 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 113256 is about 336.5352878971. The cubic root of 113256 is about 48.3823627196.

Adding to 113256 its reverse (652311), we get a palindrome (765567).

The spelling of 113256 in words is "one hundred thirteen thousand, two hundred fifty-six".