138681650016 has 480 divisors, whose sum is σ = 503454631680. Its totient is φ = 36468071424.

The previous prime is 138681649979. The next prime is 138681650039. The reversal of 138681650016 is 610056186831.

138681650016 is a `hidden beast` number, since 138 + 6 + 8 + 1 + 6 + 500 + 1 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 110151595 + ... + 110152853.

It is an arithmetic number, because the mean of its divisors is an integer number (1048863816).

Almost surely, 2^138681650016 is an apocalyptic number.

138681650016 is a gapful number since it is divisible by the number (16) 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 138681650016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251727315840).

138681650016 is an abundant number, since it is smaller than the sum of its proper divisors (364772981664).

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

138681650016 is a wasteful number, since it uses less digits than its factorization.

138681650016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1751 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 138681650016 in words is "one hundred thirty-eight billion, six hundred eighty-one million, six hundred fifty thousand, sixteen".