138819744 has 180 divisors, whose sum is σ = 475355034. Its totient is φ = 39626496.

The previous prime is 138819649. The next prime is 138819749. The reversal of 138819744 is 447918831.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 77792400 + 61027344 = 8820^2 + 7812^2 .

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

It is a self number, because there is not a number n which added to its sum of digits gives 138819744.

It is not an unprimeable number, because it can be changed into a prime (138819749) by changing a digit.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 126462 + ... + 127554.

Almost surely, 2^138819744 is an apocalyptic number.

138819744 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 138819744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237677517).

138819744 is an abundant number, since it is smaller than the sum of its proper divisors (336535290).

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

138819744 is a wasteful number, since it uses less digits than its factorization.

138819744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1129 (or 1105 counting only the distinct ones).

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

The square root of 138819744 is about 11782.1790853814. The cubic root of 138819744 is about 517.7861303616.

The spelling of 138819744 in words is "one hundred thirty-eight million, eight hundred nineteen thousand, seven hundred forty-four".