137164 has 12 divisors (see below), whose sum is σ = 244944. Its totient is φ = 67184.

The previous prime is 137153. The next prime is 137177. The reversal of 137164 is 461731.

137164 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 112 + ... + 535.

It is an arithmetic number, because the mean of its divisors is an integer number (20412).

2¹³⁷¹⁶⁴ is an apocalyptic number.

It is an amenable number.

137164 is a deficient number, since it is larger than the sum of its proper divisors (107780).

137164 is a wasteful number, since it uses less digits than its factorization.

137164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704 (or 702 counting only the distinct ones).

The product of its digits is 504, while the sum is 22.

The square root of 137164 is about 370.3565849286. The cubic root of 137164 is about 51.5719295274.

Adding to 137164 its reverse (461731), we get a palindrome (598895).

The spelling of 137164 in words is "one hundred thirty-seven thousand, one hundred sixty-four".