138853008 has 320 divisors, whose sum is σ = 502110720. Its totient is φ = 35831808.

The previous prime is 138852997. The next prime is 138853009. The reversal of 138853008 is 800358831.

It is a happy number.

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

It is not an unprimeable number, because it can be changed into a prime (138853009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1902060 + ... + 1902132.

It is an arithmetic number, because the mean of its divisors is an integer number (1569096).

Almost surely, 2^138853008 is an apocalyptic number.

138853008 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 138853008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251055360).

138853008 is an abundant number, since it is smaller than the sum of its proper divisors (363257712).

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

138853008 is a wasteful number, since it uses less digits than its factorization.

138853008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151 (or 139 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The square root of 138853008 is about 11783.5906242537. The cubic root of 138853008 is about 517.8274843790.

The spelling of 138853008 in words is "one hundred thirty-eight million, eight hundred fifty-three thousand, eight".