138288120 has 64 divisors (see below), whose sum is σ = 420733440. Its totient is φ = 36355200.

The previous prime is 138288113. The next prime is 138288127. The reversal of 138288120 is 21882831.

It is an interprime number because it is at equal distance from previous prime (138288113) and next prime (138288127).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (138288127) 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, 405 + ... + 16635.

It is an arithmetic number, because the mean of its divisors is an integer number (6573960).

Almost surely, 2^138288120 is an apocalyptic number.

138288120 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138288120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210366720).

138288120 is an abundant number, since it is smaller than the sum of its proper divisors (282445320).

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

138288120 is a wasteful number, since it uses less digits than its factorization.

138288120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16316 (or 16312 counting only the distinct ones).

The product of its (nonzero) digits is 6144, while the sum is 33.

The square root of 138288120 is about 11759.5969318680. The cubic root of 138288120 is about 517.1243136693.

The spelling of 138288120 in words is "one hundred thirty-eight million, two hundred eighty-eight thousand, one hundred twenty".