138385968 has 160 divisors (see below), whose sum is σ = 439257600. Its totient is φ = 36661248.

The previous prime is 138385939. The next prime is 138385969. The reversal of 138385968 is 869583831.

138385968 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×138385968² = 38301352278594048, which contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 138385968.

It is not an unprimeable number, because it can be changed into a prime (138385969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 338148 + ... + 338556.

It is an arithmetic number, because the mean of its divisors is an integer number (2745360).

Almost surely, 2^138385968 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 138385968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219628800).

138385968 is an abundant number, since it is smaller than the sum of its proper divisors (300871632).

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

138385968 is a wasteful number, since it uses less digits than its factorization.

138385968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 499 (or 493 counting only the distinct ones).

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

The square root of 138385968 is about 11763.7565428735. The cubic root of 138385968 is about 517.2462514766.

The spelling of 138385968 in words is "one hundred thirty-eight million, three hundred eighty-five thousand, nine hundred sixty-eight".