82127131737906 has 16 divisors (see below), whose sum is σ = 169552788104448. Its totient is φ = 26492623141200.

The previous prime is 82127131737853. The next prime is 82127131737923. The reversal of 82127131737906 is 60973713172128.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 220771859325 + ... + 220771859696.

It is an arithmetic number, because the mean of its divisors is an integer number (10597049256528).

Almost surely, 2^{82127131737906} is an apocalyptic number.

82127131737906 is an abundant number, since it is smaller than the sum of its proper divisors (87425656366542).

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

82127131737906 is a wasteful number, since it uses less digits than its factorization.

82127131737906 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 441543719057.

The product of its (nonzero) digits is 5334336, while the sum is 57.

The spelling of 82127131737906 in words is "eighty-two trillion, one hundred twenty-seven billion, one hundred thirty-one million, seven hundred thirty-seven thousand, nine hundred six".