138308144 has 80 divisors (see below), whose sum is σ = 308313600. Its totient is φ = 59574528.

The previous prime is 138308117. The next prime is 138308147. The reversal of 138308144 is 441803831.

It is a self number, because there is not a number n which added to its sum of digits gives 138308144.

It is not an unprimeable number, because it can be changed into a prime (138308147) 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, 311987 + ... + 312429.

It is an arithmetic number, because the mean of its divisors is an integer number (3853920).

Almost surely, 2^138308144 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 138308144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154156800).

138308144 is an abundant number, since it is smaller than the sum of its proper divisors (170005456).

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

138308144 is a wasteful number, since it uses less digits than its factorization.

138308144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 562 (or 556 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 138308144 is about 11760.4482907753. The cubic root of 138308144 is about 517.1492721823.

The spelling of 138308144 in words is "one hundred thirty-eight million, three hundred eight thousand, one hundred forty-four".