82267267137 has 32 divisors (see below), whose sum is σ = 123338350080. Its totient is φ = 48343854720.

The previous prime is 82267267127. The next prime is 82267267171. The reversal of 82267267137 is 73176276228.

It is not a de Polignac number, because 82267267137 - 2⁶ = 82267267073 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 82267267137.

It is not an unprimeable number, because it can be changed into a prime (82267267127) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17187 + ... + 405992.

It is an arithmetic number, because the mean of its divisors is an integer number (3854323440).

Almost surely, 2^82267267137 is an apocalyptic number.

It is an amenable number.

82267267137 is a deficient number, since it is larger than the sum of its proper divisors (41071082943).

82267267137 is a wasteful number, since it uses less digits than its factorization.

82267267137 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423373.

The product of its digits is 2370816, while the sum is 51.

Subtracting from 82267267137 its reverse (73176276228), we obtain a palindrome (9090990909).

The spelling of 82267267137 in words is "eighty-two billion, two hundred sixty-seven million, two hundred sixty-seven thousand, one hundred thirty-seven".