131520 has 56 divisors (see below), whose sum is σ = 420624. Its totient is φ = 34816.

The previous prime is 131519. The next prime is 131543. The reversal of 131520 is 25131.

It is a Harshad number since it is a multiple of its sum of digits (12).

It is a junction number, because it is equal to n+sod(n) for n = 131496 and 131505.

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 131520.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 892 + ... + 1028.

2¹³¹⁵²⁰ is an apocalyptic number.

131520 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 131520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210312).

131520 is an abundant number, since it is smaller than the sum of its proper divisors (289104).

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

131520 is a wasteful number, since it uses less digits than its factorization.

131520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 12.

The square root of 131520 is about 362.6568626126. The cubic root of 131520 is about 50.8546418474.

Adding to 131520 its reverse (25131), we get a palindrome (156651).

The spelling of 131520 in words is "one hundred thirty-one thousand, five hundred twenty".