132564641805 has 24 divisors (see below), whose sum is σ = 237702118680. Its totient is φ = 68263171200.

The previous prime is 132564641767. The next prime is 132564641813. The reversal of 132564641805 is 508146465231.

132564641805 is a `hidden beast` number, since 1 + 3 + 2 + 5 + 6 + 464 + 180 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 29506307076 + 103058334729 = 171774^2 + 321027^2 .

It is not a de Polignac number, because 132564641805 - 2¹⁰ = 132564640781 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50789746 + ... + 50792355.

It is an arithmetic number, because the mean of its divisors is an integer number (9904254945).

Almost surely, 2^132564641805 is an apocalyptic number.

132564641805 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132564641805 is a deficient number, since it is larger than the sum of its proper divisors (105137476875).

132564641805 is a wasteful number, since it uses less digits than its factorization.

132564641805 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101582141 (or 101582138 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 132564641805 in words is "one hundred thirty-two billion, five hundred sixty-four million, six hundred forty-one thousand, eight hundred five".