138342144 has 72 divisors (see below), whose sum is σ = 374354512. Its totient is φ = 45342720.

The previous prime is 138342133. The next prime is 138342161. The reversal of 138342144 is 441243831.

138342144 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 45372 + ... + 48324.

Almost surely, 2^138342144 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 138342144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187177256).

138342144 is an abundant number, since it is smaller than the sum of its proper divisors (236012368).

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

138342144 is an equidigital number, since it uses as much as digits as its factorization.

138342144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3033 (or 3019 counting only the distinct ones).

The product of its digits is 9216, while the sum is 30.

The square root of 138342144 is about 11761.8937250768. The cubic root of 138342144 is about 517.1916452828.

Adding to 138342144 its reverse (441243831), we get a palindrome (579585975).

The spelling of 138342144 in words is "one hundred thirty-eight million, three hundred forty-two thousand, one hundred forty-four".