138815008 has 48 divisors (see below), whose sum is σ = 283409280. Its totient is φ = 66882816.

The previous prime is 138814997. The next prime is 138815021. The reversal of 138815008 is 800518831.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 108066 + ... + 109342.

It is an arithmetic number, because the mean of its divisors is an integer number (5904360).

Almost surely, 2^138815008 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138815008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (141704640).

138815008 is an abundant number, since it is smaller than the sum of its proper divisors (144594272).

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

138815008 is a wasteful number, since it uses less digits than its factorization.

138815008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1409 (or 1401 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 34.

The square root of 138815008 is about 11781.9781021694. The cubic root of 138815008 is about 517.7802419990.

The spelling of 138815008 in words is "one hundred thirty-eight million, eight hundred fifteen thousand, eight".