131292 has 36 divisors (see below), whose sum is σ = 380016. Its totient is φ = 37440.

The previous prime is 131267. The next prime is 131293. The reversal of 131292 is 292131.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (36).

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

It is a nude number because it is divisible by every one of its digits.

It is an Ulam number.

It is a d-powerful number, because it can be written as 1 + 3⁴ + 2⁷ + 1 + 9 + 2¹⁷ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 131292.

It is not an unprimeable number, because it can be changed into a prime (131293) by changing a digit.

131292 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 11 ways as a sum of consecutive naturals, for example, 9 + ... + 512.

It is an arithmetic number, because the mean of its divisors is an integer number (10556).

2¹³¹²⁹² is an apocalyptic number.

131292 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 131292, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190008).

131292 is an abundant number, since it is smaller than the sum of its proper divisors (248724).

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

131292 is a wasteful number, since it uses less digits than its factorization.

131292 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 538 (or 533 counting only the distinct ones).

The product of its digits is 108, while the sum is 18.

The square root of 131292 is about 362.3423795252. The cubic root of 131292 is about 50.8252380432.

It can be divided in two parts, 13129 and 2, that added together give a palindrome (13131).

The spelling of 131292 in words is "one hundred thirty-one thousand, two hundred ninety-two".