137608 has 16 divisors (see below), whose sum is σ = 262080. Its totient is φ = 67728.

The previous prime is 137597. The next prime is 137623. The reversal of 137608 is 806731.

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, 741 + ... + 907.

It is an arithmetic number, because the mean of its divisors is an integer number (16380).

2¹³⁷⁶⁰⁸ is an apocalyptic number.

It is an amenable number.

137608 is a deficient number, since it is larger than the sum of its proper divisors (124472).

137608 is a wasteful number, since it uses less digits than its factorization.

137608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 276 (or 272 counting only the distinct ones).

The product of its (nonzero) digits is 1008, while the sum is 25.

The square root of 137608 is about 370.9555229404. The cubic root of 137608 is about 51.6275157214.

The spelling of 137608 in words is "one hundred thirty-seven thousand, six hundred eight".