137531 has 4 divisors (see below), whose sum is σ = 139272. Its totient is φ = 135792.

The previous prime is 137519. The next prime is 137537. The reversal of 137531 is 135731.

It is a happy number.

137531 is nontrivially palindromic in base 3 and base 13.

137531 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a semiprime because it is the product of two primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-137531 is a prime.

It is a super-2 number, since 2×137531² = 37829551922, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137537) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 746 + ... + 911.

It is an arithmetic number, because the mean of its divisors is an integer number (34818).

2¹³⁷⁵³¹ is an apocalyptic number.

137531 is a deficient number, since it is larger than the sum of its proper divisors (1741).

137531 is an equidigital number, since it uses as much as digits as its factorization.

137531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1740.

The product of its digits is 315, while the sum is 20.

The square root of 137531 is about 370.8517223905. The cubic root of 137531 is about 51.6178843521.

It can be divided in two parts, 13 and 7531, that multiplied together give a triangular number (97903 = T₄₄₂).

The spelling of 137531 in words is "one hundred thirty-seven thousand, five hundred thirty-one".