132354045200205 has 96 divisors (see below), whose sum is σ = 235334536456032. Its totient is φ = 68788964966400.

The previous prime is 132354045200173. The next prime is 132354045200227. The reversal of 132354045200205 is 502002540453231.

132354045200205 is a `hidden beast` number, since 1 + 3 + 23 + 5 + 404 + 5 + 20 + 0 + 205 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 92817289393929 + 39536755806276 = 9634173^2 + 6287826^2 .

It is not a de Polignac number, because 132354045200205 - 2⁵ = 132354045200173 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 132354045200205.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 767001235 + ... + 767173775.

It is an arithmetic number, because the mean of its divisors is an integer number (2451401421417).

Almost surely, 2^{132354045200205} is an apocalyptic number.

132354045200205 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132354045200205 is a deficient number, since it is larger than the sum of its proper divisors (102980491255827).

132354045200205 is a wasteful number, since it uses less digits than its factorization.

132354045200205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 175199 (or 175196 counting only the distinct ones).

The product of its (nonzero) digits is 144000, while the sum is 36.

Adding to 132354045200205 its reverse (502002540453231), we get a palindrome (634356585653436).

The spelling of 132354045200205 in words is "one hundred thirty-two trillion, three hundred fifty-four billion, forty-five million, two hundred thousand, two hundred five".