82120513158 has 48 divisors (see below), whose sum is σ = 179172021600. Its totient is φ = 27182217600.

The previous prime is 82120513151. The next prime is 82120513171. The reversal of 82120513158 is 85131502128.

82120513158 is a `hidden beast` number, since 8 + 2 + 120 + 513 + 15 + 8 = 666.

It is a super-2 number, since 2×82120513158² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82120513151) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12850228 + ... + 12856616.

It is an arithmetic number, because the mean of its divisors is an integer number (3732750450).

Almost surely, 2^82120513158 is an apocalyptic number.

82120513158 is an abundant number, since it is smaller than the sum of its proper divisors (97051508442).

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

82120513158 is a wasteful number, since it uses less digits than its factorization.

82120513158 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11277 (or 11274 counting only the distinct ones).

The product of its (nonzero) digits is 19200, while the sum is 36.

The spelling of 82120513158 in words is "eighty-two billion, one hundred twenty million, five hundred thirteen thousand, one hundred fifty-eight".