138017776528512 has 1024 divisors, whose sum is σ = 442121960448000. Its totient is φ = 42281747988480.

The previous prime is 138017776528477. The next prime is 138017776528517. The reversal of 138017776528512 is 215825677710831.

138017776528512 is a `hidden beast` number, since 1 + 3 + 80 + 17 + 7 + 7 + 6 + 5 + 28 + 512 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 138017776528512.

It is not an unprimeable number, because it can be changed into a prime (138017776528517) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 46960793539 + ... + 46960796477.

It is an arithmetic number, because the mean of its divisors is an integer number (431759727000).

Almost surely, 2^{138017776528512} is an apocalyptic number.

138017776528512 is a gapful number since it is divisible by the number (12) 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 138017776528512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221060980224000).

138017776528512 is an abundant number, since it is smaller than the sum of its proper divisors (304104183919488).

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

138017776528512 is a wasteful number, since it uses less digits than its factorization.

138017776528512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3266 (or 3248 counting only the distinct ones).

The product of its (nonzero) digits is 39513600, while the sum is 63.

The spelling of 138017776528512 in words is "one hundred thirty-eight trillion, seventeen billion, seven hundred seventy-six million, five hundred twenty-eight thousand, five hundred twelve".