82137126 has 16 divisors (see below), whose sum is σ = 164634624. Its totient is φ = 27318984.

The previous prime is 82137103. The next prime is 82137127. The reversal of 82137126 is 62173128.

It is a junction number, because it is equal to n+sod(n) for n = 82137093 and 82137102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (82137127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 12006 + ... + 17561.

It is an arithmetic number, because the mean of its divisors is an integer number (10289664).

Almost surely, 2^82137126 is an apocalyptic number.

82137126 is an abundant number, since it is smaller than the sum of its proper divisors (82497498).

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

82137126 is a wasteful number, since it uses less digits than its factorization.

82137126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30035.

The product of its digits is 4032, while the sum is 30.

The square root of 82137126 is about 9062.9534921018. The cubic root of 82137126 is about 434.6901849982.

The spelling of 82137126 in words is "eighty-two million, one hundred thirty-seven thousand, one hundred twenty-six".