137899008 has 132 divisors (see below), whose sum is σ = 429182208. Its totient is φ = 42393600.

The previous prime is 137899001. The next prime is 137899033. The reversal of 137899008 is 800998731.

It is a super-2 number, since 2×137899008² = 38032272814768128, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (137899001) by changing a digit.

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 in 11 ways as a sum of consecutive naturals, for example, 119233 + ... + 120383.

Almost surely, 2^137899008 is an apocalyptic number.

137899008 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 137899008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214591104).

137899008 is an abundant number, since it is smaller than the sum of its proper divisors (291283200).

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

137899008 is a wasteful number, since it uses less digits than its factorization.

137899008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1190 (or 1169 counting only the distinct ones).

The product of its (nonzero) digits is 108864, while the sum is 45.

The square root of 137899008 is about 11743.0408327656. The cubic root of 137899008 is about 516.6388337880.

The spelling of 137899008 in words is "one hundred thirty-seven million, eight hundred ninety-nine thousand, eight".