131526 has 12 divisors (see below), whose sum is σ = 285012. Its totient is φ = 43836.

The previous prime is 131519. The next prime is 131543. The reversal of 131526 is 625131.

131526 is nontrivially palindromic in base 12.

It is a Harshad number since it is a multiple of its sum of digits (18), and also a Moran number because the ratio is a prime number: 7307 = 131526 / (1 + 3 + 1 + 5 + 2 + 6).

It is a junction number, because it is equal to n+sod(n) for n = 131499 and 131508.

It is a congruent number.

It is an unprimeable number.

131526 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 5 ways as a sum of consecutive naturals, for example, 3636 + ... + 3671.

It is an arithmetic number, because the mean of its divisors is an integer number (23751).

2¹³¹⁵²⁶ is an apocalyptic number.

131526 is an abundant number, since it is smaller than the sum of its proper divisors (153486).

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

131526 is a wasteful number, since it uses less digits than its factorization.

131526 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7315 (or 7312 counting only the distinct ones).

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

The square root of 131526 is about 362.6651348007. The cubic root of 131526 is about 50.8554151727.

Adding to 131526 its reverse (625131), we get a palindrome (756657).

The spelling of 131526 in words is "one hundred thirty-one thousand, five hundred twenty-six".