131538 has 16 divisors (see below), whose sum is σ = 287136. Its totient is φ = 39840.

The previous prime is 131519. The next prime is 131543. The reversal of 131538 is 835131.

It is a happy number.

It is a Curzon number.

It is an unprimeable number.

131538 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 7 ways as a sum of consecutive naturals, for example, 931 + ... + 1062.

It is an arithmetic number, because the mean of its divisors is an integer number (17946).

2¹³¹⁵³⁸ is an apocalyptic number.

131538 is an abundant number, since it is smaller than the sum of its proper divisors (155598).

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

131538 is a wasteful number, since it uses less digits than its factorization.

131538 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2009.

The product of its digits is 360, while the sum is 21.

The square root of 131538 is about 362.6816786109. The cubic root of 131538 is about 50.8569617526.

Adding to 131538 its reverse (835131), we get a palindrome (966669).

It can be divided in two parts, 13 and 1538, that added together give a palindrome (1551).

The spelling of 131538 in words is "one hundred thirty-one thousand, five hundred thirty-eight".