138189744 has 240 divisors, whose sum is σ = 490873344. Its totient is φ = 35544960.

The previous prime is 138189743. The next prime is 138189757. The reversal of 138189744 is 447981831.

It is a happy number.

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

Its product of digits (193536) is a multiple of the sum of its prime divisors (126).

It is a self number, because there is not a number n which added to its sum of digits gives 138189744.

It is not an unprimeable number, because it can be changed into a prime (138189743) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 1341597 + ... + 1341699.

Almost surely, 2^138189744 is an apocalyptic number.

138189744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 138189744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245436672).

138189744 is an abundant number, since it is smaller than the sum of its proper divisors (352683600).

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

138189744 is a wasteful number, since it uses less digits than its factorization.

138189744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 157 (or 126 counting only the distinct ones).

The product of its digits is 193536, while the sum is 45.

The square root of 138189744 is about 11755.4133912849. The cubic root of 138189744 is about 517.0016598709.

It can be divided in two parts, 1381 and 89744, that added together give a cube (91125 = 45³).

The spelling of 138189744 in words is "one hundred thirty-eight million, one hundred eighty-nine thousand, seven hundred forty-four".