131940 has 36 divisors (see below), whose sum is σ = 400764. Its totient is φ = 35136.

The previous prime is 131939. The next prime is 131941. The reversal of 131940 is 49131.

It is an interprime number because it is at equal distance from previous prime (131939) and next prime (131941).

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 34596 = 312^2 + 186^2 .

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 nialpdrome in base 12.

It is not an unprimeable number, because it can be changed into a prime (131941) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 187 + ... + 546.

2¹³¹⁹⁴⁰ is an apocalyptic number.

131940 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

131940 is an abundant number, since it is smaller than the sum of its proper divisors (268824).

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

131940 is a wasteful number, since it uses less digits than its factorization.

131940 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 748 (or 743 counting only the distinct ones).

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

The square root of 131940 is about 363.2354608240. The cubic root of 131940 is about 50.9087179163.

It can be divided in two parts, 13 and 1940, that added together give a triangular number (1953 = T₆₂).

The spelling of 131940 in words is "one hundred thirty-one thousand, nine hundred forty".