138378768 has 80 divisors (see below), whose sum is σ = 393028416. Its totient is φ = 41605120.

The previous prime is 138378743. The next prime is 138378769. The reversal of 138378768 is 867873831.

138378768 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 138378768.

It is not an unprimeable number, because it can be changed into a prime (138378769) 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, 71380 + ... + 73292.

Almost surely, 2^138378768 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 138378768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196514208).

138378768 is an abundant number, since it is smaller than the sum of its proper divisors (254649648).

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

138378768 is a wasteful number, since it uses less digits than its factorization.

138378768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2072 (or 2066 counting only the distinct ones).

The product of its digits is 1354752, while the sum is 51.

The square root of 138378768 is about 11763.4505141986. The cubic root of 138378768 is about 517.2372808233.

The spelling of 138378768 in words is "one hundred thirty-eight million, three hundred seventy-eight thousand, seven hundred sixty-eight".