138080620447744 has 96 divisors (see below), whose sum is σ = 297340633076760. Its totient is φ = 63727624912896.

The previous prime is 138080620447741. The next prime is 138080620447789. The reversal of 138080620447744 is 447744026080831.

It can be written as a sum of positive squares in 4 ways, for example, as 67840129926144 + 70240490521600 = 8236512^2 + 8380960^2 .

It is not an unprimeable number, because it can be changed into a prime (138080620447741) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1324678252 + ... + 1324782484.

Almost surely, 2^{138080620447744} 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 138080620447744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148670316538380).

138080620447744 is an abundant number, since it is smaller than the sum of its proper divisors (159260012629016).

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

138080620447744 is a wasteful number, since it uses less digits than its factorization.

138080620447744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 154025 (or 154005 counting only the distinct ones).

The product of its (nonzero) digits is 28901376, while the sum is 58.

The spelling of 138080620447744 in words is "one hundred thirty-eight trillion, eighty billion, six hundred twenty million, four hundred forty-seven thousand, seven hundred forty-four".