138316288 has 80 divisors (see below), whose sum is σ = 309355200. Its totient is φ = 61235200.

The previous prime is 138316271. The next prime is 138316309. The reversal of 138316288 is 882613831.

It is a self number, because there is not a number n which added to its sum of digits gives 138316288.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 230613 + ... + 231211.

It is an arithmetic number, because the mean of its divisors is an integer number (3866940).

Almost surely, 2^138316288 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 138316288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154677600).

138316288 is an abundant number, since it is smaller than the sum of its proper divisors (171038912).

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

138316288 is an equidigital number, since it uses as much as digits as its factorization.

138316288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 669 (or 653 counting only the distinct ones).

The product of its digits is 55296, while the sum is 40.

The square root of 138316288 is about 11760.7945309830. The cubic root of 138316288 is about 517.1594224186.

It can be divided in two parts, 1383 and 16288, that added together give a palindrome (17671).

The spelling of 138316288 in words is "one hundred thirty-eight million, three hundred sixteen thousand, two hundred eighty-eight".