137539 has 4 divisors (see below), whose sum is σ = 139360. Its totient is φ = 135720.

The previous prime is 137537. The next prime is 137567. The reversal of 137539 is 935731.

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

It is a cyclic number.

It is not a de Polignac number, because 137539 - 2¹ = 137537 is a prime.

It is a Duffinian number.

137539 is a lucky number.

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

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 792 + ... + 949.

It is an arithmetic number, because the mean of its divisors is an integer number (34840).

137539 is a Friedman number, since it can be written as 7*3^9-3^5+1, using all its digits and the basic arithmetic operations.

2¹³⁷⁵³⁹ is an apocalyptic number.

137539 is a deficient number, since it is larger than the sum of its proper divisors (1821).

137539 is an equidigital number, since it uses as much as digits as its factorization.

137539 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1820.

The product of its digits is 2835, while the sum is 28.

The square root of 137539 is about 370.8625082156. The cubic root of 137539 is about 51.6188851812.

It can be divided in two parts, 137 and 539, that added together give a palindrome (676).

The spelling of 137539 in words is "one hundred thirty-seven thousand, five hundred thirty-nine".