82136159612928 has 312 divisors, whose sum is σ = 247400314093296. Its totient is φ = 27227396505600.

The previous prime is 82136159612867. The next prime is 82136159612939. The reversal of 82136159612928 is 82921695163128.

82136159612928 is a `hidden beast` number, since 8 + 2 + 1 + 3 + 6 + 1 + 5 + 9 + 612 + 9 + 2 + 8 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 179926408 + ... + 180382328.

It is an arithmetic number, because the mean of its divisors is an integer number (792949724658).

Almost surely, 2^{82136159612928} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 82136159612928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (123700157046648).

82136159612928 is an abundant number, since it is smaller than the sum of its proper divisors (165264154480368).

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

82136159612928 is an equidigital number, since it uses as much as digits as its factorization.

82136159612928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 456141 (or 456107 counting only the distinct ones).

The product of its digits is 22394880, while the sum is 63.

The spelling of 82136159612928 in words is "eighty-two trillion, one hundred thirty-six billion, one hundred fifty-nine million, six hundred twelve thousand, nine hundred twenty-eight".