138737283121008 has 480 divisors, whose sum is σ = 478923861911040. Its totient is φ = 36910181468160.

The previous prime is 138737283120971. The next prime is 138737283121061. The reversal of 138737283121008 is 800121382737831.

138737283121008 is a `hidden beast` number, since 1 + 3 + 87 + 372 + 83 + 12 + 100 + 8 = 666.

138737283121008 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 38276485 + ... + 41744027.

It is an arithmetic number, because the mean of its divisors is an integer number (997758045648).

Almost surely, 2^{138737283121008} is an apocalyptic number.

138737283121008 is a gapful number since it is divisible by the number (18) 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 138737283121008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239461930955520).

138737283121008 is an abundant number, since it is smaller than the sum of its proper divisors (340186578790032).

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

138737283121008 is a wasteful number, since it uses less digits than its factorization.

138737283121008 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3467677 (or 3467668 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 54.

The spelling of 138737283121008 in words is "one hundred thirty-eight trillion, seven hundred thirty-seven billion, two hundred eighty-three million, one hundred twenty-one thousand, eight".