138288384 has 288 divisors, whose sum is σ = 469302400. Its totient is φ = 40310784.

The previous prime is 138288361. The next prime is 138288391. The reversal of 138288384 is 483882831.

It is a tau number, because it is divible by the number of its divisors (288).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7278327 + ... + 7278345.

Almost surely, 2^138288384 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 138288384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (234651200).

138288384 is an abundant number, since it is smaller than the sum of its proper divisors (331014016).

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

138288384 is an frugal number, since it uses more digits than its factorization.

138288384 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 69 (or 37 counting only the distinct ones).

The product of its digits is 294912, while the sum is 45.

The square root of 138288384 is about 11759.6081567372. The cubic root of 138288384 is about 517.1246427425.

The spelling of 138288384 in words is "one hundred thirty-eight million, two hundred eighty-eight thousand, three hundred eighty-four".