138876288 has 64 divisors (see below), whose sum is σ = 370137600. Its totient is φ = 46135808.

The previous prime is 138876259. The next prime is 138876289. The reversal of 138876288 is 882678831.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 138876288.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138876289) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 192793 + ... + 193511.

It is an arithmetic number, because the mean of its divisors is an integer number (5783400).

Almost surely, 2^138876288 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 138876288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185068800).

138876288 is an abundant number, since it is smaller than the sum of its proper divisors (231261312).

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

138876288 is an equidigital number, since it uses as much as digits as its factorization.

138876288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1239 (or 1227 counting only the distinct ones).

The product of its digits is 1032192, while the sum is 51.

The square root of 138876288 is about 11784.5783972105. The cubic root of 138876288 is about 517.8564222954.

The spelling of 138876288 in words is "one hundred thirty-eight million, eight hundred seventy-six thousand, two hundred eighty-eight".