132205000000 has 224 divisors, whose sum is σ = 332034696864. Its totient is φ = 52224000000.

The previous prime is 132204999973. The next prime is 132205000007. The reversal of 132205000000 is 502231.

It can be written as a sum of positive squares in 16 ways, for example, as 40923671616 + 91281328384 = 202296^2 + 302128^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132205000007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 684999904 + ... + 685000096.

Almost surely, 2^132205000000 is an apocalyptic number.

132205000000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132205000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166017348432).

132205000000 is an abundant number, since it is smaller than the sum of its proper divisors (199829696864).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132205000000 is an frugal number, since it uses more digits than its factorization.

132205000000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 337 counting only the distinct ones).

The product of its (nonzero) digits is 60, while the sum is 13.

Adding to 132205000000 its reverse (502231), we get a palindrome (132205502231).

The spelling of 132205000000 in words is "one hundred thirty-two billion, two hundred five million", and thus it is an aban number.