132164626005 has 72 divisors (see below), whose sum is σ = 243581106600. Its totient is φ = 66279462912.

The previous prime is 132164625941. The next prime is 132164626007. The reversal of 132164626005 is 500626461231.

132164626005 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 6 + 46 + 2 + 600 + 5 = 666.

It can be written as a sum of positive squares in 12 ways, for example, as 21646942641 + 110517683364 = 147129^2 + 332442^2 .

It is not a de Polignac number, because 132164626005 - 2⁶ = 132164625941 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132164626007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15979011 + ... + 15987279.

It is an arithmetic number, because the mean of its divisors is an integer number (3383070925).

Almost surely, 2^132164626005 is an apocalyptic number.

132164626005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132164626005 is a deficient number, since it is larger than the sum of its proper divisors (111416480595).

132164626005 is a wasteful number, since it uses less digits than its factorization.

132164626005 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9543 (or 9523 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 132164626005 in words is "one hundred thirty-two billion, one hundred sixty-four million, six hundred twenty-six thousand, five".