131524 has 12 divisors (see below), whose sum is σ = 232848. Its totient is φ = 65000.

The previous prime is 131519. The next prime is 131543. The reversal of 131524 is 425131.

131524 is nontrivially palindromic in base 11.

131524 is an undulating number in base 11.

It is a junction number, because it is equal to n+sod(n) for n = 131498 and 131507.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 399 + ... + 649.

It is an arithmetic number, because the mean of its divisors is an integer number (19404).

2¹³¹⁵²⁴ is an apocalyptic number.

It is an amenable number.

131524 is a deficient number, since it is larger than the sum of its proper divisors (101324).

131524 is a wasteful number, since it uses less digits than its factorization.

131524 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 386 (or 384 counting only the distinct ones).

The product of its digits is 120, while the sum is 16.

The square root of 131524 is about 362.6623774256. The cubic root of 131524 is about 50.8551574002.

Adding to 131524 its reverse (425131), we get a palindrome (556655).

It can be divided in two parts, 131 and 524, that multiplied together give a square (68644 = 262²).

The spelling of 131524 in words is "one hundred thirty-one thousand, five hundred twenty-four".