137168 has 10 divisors (see below), whose sum is σ = 265794. Its totient is φ = 68576.

The previous prime is 137153. The next prime is 137177. The reversal of 137168 is 861731.

It can be written as a sum of positive squares in only one way, i.e., 107584 + 29584 = 328^2 + 172^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4271 + ... + 4302.

2¹³⁷¹⁶⁸ is an apocalyptic number.

It is an amenable number.

137168 is a deficient number, since it is larger than the sum of its proper divisors (128626).

137168 is an equidigital number, since it uses as much as digits as its factorization.

137168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8581 (or 8575 counting only the distinct ones).

The product of its digits is 1008, while the sum is 26.

The square root of 137168 is about 370.3619850903. The cubic root of 137168 is about 51.5724308390.

Adding to 137168 its reverse (861731), we get a palindrome (998899).

The spelling of 137168 in words is "one hundred thirty-seven thousand, one hundred sixty-eight".