138306539585760 has 576 divisors, whose sum is σ = 556541995806720. Its totient is φ = 28239828664320.

The previous prime is 138306539585749. The next prime is 138306539585779. The reversal of 138306539585760 is 67585935603831.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 13674556 + ... + 21531524.

It is an arithmetic number, because the mean of its divisors is an integer number (966218742720).

Almost surely, 2^{138306539585760} is an apocalyptic number.

138306539585760 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 138306539585760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278270997903360).

138306539585760 is an abundant number, since it is smaller than the sum of its proper divisors (418235456220960).

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

138306539585760 is a wasteful number, since it uses less digits than its factorization.

138306539585760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7857051 (or 7857030 counting only the distinct ones).

The product of its (nonzero) digits is 489888000, while the sum is 69.

The spelling of 138306539585760 in words is "one hundred thirty-eight trillion, three hundred six billion, five hundred thirty-nine million, five hundred eighty-five thousand, seven hundred sixty".