138119808 has 128 divisors (see below), whose sum is σ = 386784000. Its totient is φ = 43610112.

The previous prime is 138119803. The next prime is 138119809. The reversal of 138119808 is 808911831.

138119808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (138119803) 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, 879666 + ... + 879822.

It is an arithmetic number, because the mean of its divisors is an integer number (3021750).

Almost surely, 2^138119808 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 138119808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193392000).

138119808 is an abundant number, since it is smaller than the sum of its proper divisors (248664192).

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

138119808 is a wasteful number, since it uses less digits than its factorization.

138119808 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 282 (or 270 counting only the distinct ones).

The product of its (nonzero) digits is 13824, while the sum is 39.

The square root of 138119808 is about 11752.4383852884. The cubic root of 138119808 is about 516.9144292553.

The spelling of 138119808 in words is "one hundred thirty-eight million, one hundred nineteen thousand, eight hundred eight".