138944 has 28 divisors (see below), whose sum is σ = 298704. Its totient is φ = 63744.

The previous prime is 138937. The next prime is 138959. The reversal of 138944 is 449831.

Its product of digits (3456) is a multiple of the sum of its prime factors (192).

It is a nialpdrome in base 11.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 138944.

It is an unprimeable number.

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, 749 + ... + 915.

It is an arithmetic number, because the mean of its divisors is an integer number (10668).

2¹³⁸⁹⁴⁴ 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 138944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (149352).

138944 is an abundant number, since it is smaller than the sum of its proper divisors (159760).

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

138944 is a wasteful number, since it uses less digits than its factorization.

138944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 182 counting only the distinct ones).

The product of its digits is 3456, while the sum is 29.

The square root of 138944 is about 372.7519282311. The cubic root of 138944 is about 51.7940572482.

It can be divided in two parts, 1389 and 44, that multiplied together give a palindrome (61116).

The spelling of 138944 in words is "one hundred thirty-eight thousand, nine hundred forty-four".