138956944 has 45 divisors (see below), whose sum is σ = 313930521. Its totient is φ = 59411520.

The previous prime is 138956903. The next prime is 138956947. The reversal of 138956944 is 449659831.

It is a happy number.

The square root of 138956944 is 11788.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 659344 + 138297600 = 812^2 + 11760^2 .

It is a Harshad number since it is a multiple of its sum of digits (49).

It is a Duffinian number.

Its product of digits (933120) is a multiple of the sum of its prime factors (864).

It is not an unprimeable number, because it can be changed into a prime (138956947) 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 8 ways as a sum of consecutive naturals, for example, 329854 + ... + 330274.

Almost surely, 2^138956944 is an apocalyptic number.

138956944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

138956944 is the 11788-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138956944

138956944 is an abundant number, since it is smaller than the sum of its proper divisors (174973577).

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

138956944 is an frugal number, since it uses more digits than its factorization.

138956944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 864 (or 430 counting only the distinct ones).

The product of its digits is 933120, while the sum is 49.

The cubic root of 138956944 is about 517.9566557353.

Multiplying 138956944 by its sum of digits (49), we get a square (6808890256 = 82516²).

138956944 divided by its sum of digits (49) gives a square (2835856 = 1684²).

The spelling of 138956944 in words is "one hundred thirty-eight million, nine hundred fifty-six thousand, nine hundred forty-four".