138139336258560 has 2112 divisors, whose sum is σ = 608989744742400. Its totient is φ = 29076009910272.

The previous prime is 138139336258543. The next prime is 138139336258571. The reversal of 138139336258560 is 65852633931831.

138139336258560 is a `hidden beast` number, since 1 + 3 + 8 + 1 + 3 + 9 + 3 + 3 + 62 + 5 + 8 + 560 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

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 191 ways as a sum of consecutive naturals, for example, 95996758321 + ... + 95996759759.

Almost surely, 2^{138139336258560} is an apocalyptic number.

138139336258560 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 138139336258560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (304494872371200).

138139336258560 is an abundant number, since it is smaller than the sum of its proper divisors (470850408483840).

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

138139336258560 is a wasteful number, since it uses less digits than its factorization.

138139336258560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2093 (or 2056 counting only the distinct ones).

The product of its (nonzero) digits is 83980800, while the sum is 63.

The spelling of 138139336258560 in words is "one hundred thirty-eight trillion, one hundred thirty-nine billion, three hundred thirty-six million, two hundred fifty-eight thousand, five hundred sixty".