82116133092 has 36 divisors (see below), whose sum is σ = 237224385216. Its totient is φ = 23461752240.

The previous prime is 82116133091. The next prime is 82116133103. The reversal of 82116133092 is 29033161128.

82116133092 is a `hidden beast` number, since 8 + 2 + 1 + 1 + 613 + 30 + 9 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (82116133091) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 162928584 + ... + 162929087.

It is an arithmetic number, because the mean of its divisors is an integer number (6589566256).

Almost surely, 2^82116133092 is an apocalyptic number.

It is an amenable number.

82116133092 is an abundant number, since it is smaller than the sum of its proper divisors (155108252124).

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

82116133092 is a wasteful number, since it uses less digits than its factorization.

82116133092 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325857688 (or 325857683 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 82116133092 in words is "eighty-two billion, one hundred sixteen million, one hundred thirty-three thousand, ninety-two".