137008 has 10 divisors (see below), whose sum is σ = 265484. Its totient is φ = 68496.

The previous prime is 136999. The next prime is 137029. The reversal of 137008 is 800731.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 4266 + ... + 4297.

2¹³⁷⁰⁰⁸ is an apocalyptic number.

It is an amenable number.

137008 is a deficient number, since it is larger than the sum of its proper divisors (128476).

137008 is an equidigital number, since it uses as much as digits as its factorization.

137008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8571 (or 8565 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 19.

The square root of 137008 is about 370.1459171732. The cubic root of 137008 is about 51.5523707682.

Adding to 137008 its reverse (800731), we get a palindrome (937739).

It can be divided in two parts, 13 and 7008, that added together give a triangular number (7021 = T₁₁₈).

The spelling of 137008 in words is "one hundred thirty-seven thousand, eight".