137297808 has 80 divisors (see below), whose sum is σ = 398635200. Its totient is φ = 45239040.

The previous prime is 137297801. The next prime is 137297827. The reversal of 137297808 is 808792731.

It is not an unprimeable number, because it can be changed into a prime (137297801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 36663 + ... + 40233.

It is an arithmetic number, because the mean of its divisors is an integer number (4982940).

Almost surely, 2^137297808 is an apocalyptic number.

137297808 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 137297808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199317600).

137297808 is an abundant number, since it is smaller than the sum of its proper divisors (261337392).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137297808 is a wasteful number, since it uses less digits than its factorization.

137297808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3677 (or 3665 counting only the distinct ones).

The product of its (nonzero) digits is 169344, while the sum is 45.

The square root of 137297808 is about 11717.4147319279. The cubic root of 137297808 is about 515.8869411574.

The spelling of 137297808 in words is "one hundred thirty-seven million, two hundred ninety-seven thousand, eight hundred eight".