132205534461 has 144 divisors (see below), whose sum is σ = 264783841920. Its totient is φ = 61679854080.

The previous prime is 132205534453. The next prime is 132205534477. The reversal of 132205534461 is 164435502231.

132205534461 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 0 + 553 + 44 + 61 = 666.

It is not a de Polignac number, because 132205534461 - 2³ = 132205534453 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132205534441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 4318075 + ... + 4348583.

It is an arithmetic number, because the mean of its divisors is an integer number (1838776680).

Almost surely, 2^132205534461 is an apocalyptic number.

132205534461 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

It is an amenable number.

132205534461 is an abundant number, since it is smaller than the sum of its proper divisors (132578307459).

132205534461 is a wasteful number, since it uses less digits than its factorization.

132205534461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30596 (or 30580 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 36.

It can be divided in two parts, 132205 and 534461, that added together give a palindrome (666666).

The spelling of 132205534461 in words is "one hundred thirty-two billion, two hundred five million, five hundred thirty-four thousand, four hundred sixty-one".