131256 has 24 divisors (see below), whose sum is σ = 355680. Its totient is φ = 43728.

The previous prime is 131251. The next prime is 131267. The reversal of 131256 is 652131.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131251) by changing a digit.

131256 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 840 + ... + 983.

It is an arithmetic number, because the mean of its divisors is an integer number (14820).

2¹³¹²⁵⁶ is an apocalyptic number.

It is an amenable number.

131256 is an abundant number, since it is smaller than the sum of its proper divisors (224424).

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

131256 is a wasteful number, since it uses less digits than its factorization.

131256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1835 (or 1828 counting only the distinct ones).

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

The square root of 131256 is about 362.2926993468. The cubic root of 131256 is about 50.8205922262.

Adding to 131256 its reverse (652131), we get a palindrome (783387).

It can be divided in two parts, 13125 and 6, that added together give a palindrome (13131).

The spelling of 131256 in words is "one hundred thirty-one thousand, two hundred fifty-six".