137005 has 16 divisors (see below), whose sum is σ = 186624. Its totient is φ = 95680.

The previous prime is 136999. The next prime is 137029. The reversal of 137005 is 500731.

137005 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137005 - 2⁵ = 136973 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 137005.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2559 + ... + 2611.

It is an arithmetic number, because the mean of its divisors is an integer number (11664).

2¹³⁷⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

137005 is a deficient number, since it is larger than the sum of its proper divisors (49619).

137005 is a wasteful number, since it uses less digits than its factorization.

137005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 116.

The product of its (nonzero) digits is 105, while the sum is 16.

The square root of 137005 is about 370.1418646951. The cubic root of 137005 is about 51.5519944927.

Subtracting from 137005 its product of nonzero digits (105), we obtain a square (136900 = 370²).

Adding to 137005 its reverse (500731), we get a palindrome (637736).

The spelling of 137005 in words is "one hundred thirty-seven thousand, five".