137711808 has 168 divisors, whose sum is σ = 434358288. Its totient is φ = 41453568.

The previous prime is 137711801. The next prime is 137711809. The reversal of 137711808 is 808117731.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137711801) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 396691 + ... + 397037.

It is an arithmetic number, because the mean of its divisors is an integer number (2585466).

Almost surely, 2^137711808 is an apocalyptic number.

137711808 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 137711808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217179144).

137711808 is an abundant number, since it is smaller than the sum of its proper divisors (296646480).

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

137711808 is a wasteful number, since it uses less digits than its factorization.

137711808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 431 (or 418 counting only the distinct ones).

The product of its (nonzero) digits is 9408, while the sum is 36.

The square root of 137711808 is about 11735.0674476119. The cubic root of 137711808 is about 516.4049462301.

The spelling of 137711808 in words is "one hundred thirty-seven million, seven hundred eleven thousand, eight hundred eight".