138893568 has 144 divisors (see below), whose sum is σ = 414130752. Its totient is φ = 40960000.

The previous prime is 138893567. The next prime is 138893581. The reversal of 138893568 is 865398831.

It is a self number, because there is not a number n which added to its sum of digits gives 138893568.

It is not an unprimeable number, because it can be changed into a prime (138893561) 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, 346168 + ... + 346568.

It is an arithmetic number, because the mean of its divisors is an integer number (2875908).

Almost surely, 2^138893568 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 138893568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207065376).

138893568 is an abundant number, since it is smaller than the sum of its proper divisors (275237184).

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

138893568 is a wasteful number, since it uses less digits than its factorization.

138893568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472 (or 458 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 51.

The square root of 138893568 is about 11785.3115359756. The cubic root of 138893568 is about 517.8778998948.

The spelling of 138893568 in words is "one hundred thirty-eight million, eight hundred ninety-three thousand, five hundred sixty-eight".