132005440305 has 48 divisors (see below), whose sum is σ = 233475826896. Its totient is φ = 68971069440.

The previous prime is 132005440291. The next prime is 132005440337. The reversal of 132005440305 is 503044500231.

132005440305 is a `hidden beast` number, since 1 + 3 + 200 + 54 + 403 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 1010667681 + 130994772624 = 31791^2 + 361932^2 .

It is not a de Polignac number, because 132005440305 - 2¹⁵ = 132005407537 is a prime.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 1563985 + ... + 1646225.

It is an arithmetic number, because the mean of its divisors is an integer number (4864079727).

Almost surely, 2^132005440305 is an apocalyptic number.

132005440305 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132005440305 is a deficient number, since it is larger than the sum of its proper divisors (101470386591).

132005440305 is a wasteful number, since it uses less digits than its factorization.

132005440305 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82978 (or 82975 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

Adding to 132005440305 its reverse (503044500231), we get a palindrome (635049940536).

The spelling of 132005440305 in words is "one hundred thirty-two billion, five million, four hundred forty thousand, three hundred five".