137075 has 6 divisors (see below), whose sum is σ = 170004. Its totient is φ = 109640.

The previous prime is 137029. The next prime is 137077. The reversal of 137075 is 570731.

It is a happy number.

It is not a de Polignac number, because 137075 - 2¹⁴ = 120691 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 137075.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 137075.

It is not an unprimeable number, because it can be changed into a prime (137077) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 2717 + ... + 2766.

It is an arithmetic number, because the mean of its divisors is an integer number (28334).

2¹³⁷⁰⁷⁵ is an apocalyptic number.

137075 is a deficient number, since it is larger than the sum of its proper divisors (32929).

137075 is an equidigital number, since it uses as much as digits as its factorization.

137075 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5493 (or 5488 counting only the distinct ones).

The product of its (nonzero) digits is 735, while the sum is 23.

The square root of 137075 is about 370.2364109593. The cubic root of 137075 is about 51.5607728225.

The spelling of 137075 in words is "one hundred thirty-seven thousand, seventy-five".