137108 has 12 divisors (see below), whose sum is σ = 242592. Its totient is φ = 67800.

The previous prime is 137089. The next prime is 137117. The reversal of 137108 is 801731.

It is a hoax number, since the sum of its digits (20) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 137108.

It is a congruent number.

It is an unprimeable number.

137108 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 491 + ... + 717.

It is an arithmetic number, because the mean of its divisors is an integer number (20216).

2¹³⁷¹⁰⁸ is an apocalyptic number.

It is an amenable number.

137108 is a deficient number, since it is larger than the sum of its proper divisors (105484).

137108 is a wasteful number, since it uses less digits than its factorization.

137108 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 382 (or 380 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 20.

The square root of 137108 is about 370.2809743965. The cubic root of 137108 is about 51.5649101414.

Adding to 137108 its reverse (801731), we get a palindrome (938839).

The spelling of 137108 in words is "one hundred thirty-seven thousand, one hundred eight".