138144 has 24 divisors (see below), whose sum is σ = 362880. Its totient is φ = 46016.

The previous prime is 138143. The next prime is 138157. The reversal of 138144 is 441831.

It is a tau number, because it is divible by the number of its divisors (24).

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

It is an Ulam number.

It is a self number, because there is not a number n which added to its sum of digits gives 138144.

It is not an unprimeable number, because it can be changed into a prime (138143) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 624 + ... + 815.

It is an arithmetic number, because the mean of its divisors is an integer number (15120).

2¹³⁸¹⁴⁴ is an apocalyptic number.

It is an amenable number.

138144 is an abundant number, since it is smaller than the sum of its proper divisors (224736).

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

138144 is a wasteful number, since it uses less digits than its factorization.

138144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1452 (or 1444 counting only the distinct ones).

The product of its digits is 384, while the sum is 21.

The square root of 138144 is about 371.6772793702. The cubic root of 138144 is about 51.6944607075.

Adding to 138144 its reverse (441831), we get a palindrome (579975).

It can be divided in two parts, 138 and 144, that added together give a palindrome (282).

The spelling of 138144 in words is "one hundred thirty-eight thousand, one hundred forty-four".