131580 has 72 divisors (see below), whose sum is σ = 432432. Its totient is φ = 32256.

The previous prime is 131561. The next prime is 131581. The reversal of 131580 is 85131.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (131581) by changing a digit.

131580 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 23 ways as a sum of consecutive naturals, for example, 3039 + ... + 3081.

It is an arithmetic number, because the mean of its divisors is an integer number (6006).

2¹³¹⁵⁸⁰ is an apocalyptic number.

131580 is a gapful number since it is divisible by the number (10) 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 131580, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216216).

131580 is an abundant number, since it is smaller than the sum of its proper divisors (300852).

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

131580 is a wasteful number, since it uses less digits than its factorization.

131580 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 75 (or 70 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 18.

The square root of 131580 is about 362.7395760046. The cubic root of 131580 is about 50.8623740418.

The spelling of 131580 in words is "one hundred thirty-one thousand, five hundred eighty".