138749548080000 has 1920 divisors, whose sum is σ = 547019682168960. Its totient is φ = 30942996480000.

The previous prime is 138749548079993. The next prime is 138749548080041. The reversal of 138749548080000 is 80845947831.

It is a tau number, because it is divible by the number of its divisors (1920).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 176301839607 + ... + 176301840393.

It is an arithmetic number, because the mean of its divisors is an integer number (284906084463).

Almost surely, 2^{138749548080000} is an apocalyptic number.

138749548080000 is a gapful number since it is divisible by the number (10) 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 138749548080000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273509841084480).

138749548080000 is an abundant number, since it is smaller than the sum of its proper divisors (408270134088960).

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

138749548080000 is a wasteful number, since it uses less digits than its factorization.

138749548080000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1326 (or 1288 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 57.

The spelling of 138749548080000 in words is "one hundred thirty-eight trillion, seven hundred forty-nine billion, five hundred forty-eight million, eighty thousand".