132955036900 has 81 divisors (see below), whose sum is σ = 335680942779. Its totient is φ = 45575832960.

The previous prime is 132955036889. The next prime is 132955036927. The reversal of 132955036900 is 9630559231.

The square root of 132955036900 is 364630.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 31102144164 + 101852892736 = 176358^2 + 319144^2 .

It is a super-2 number, since 2×132955036900² (a number of 23 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 25521496 + ... + 25526704.

Almost surely, 2^132955036900 is an apocalyptic number.

132955036900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132955036900 is the 364630-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132955036900

132955036900 is an abundant number, since it is smaller than the sum of its proper divisors (202725905879).

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

132955036900 is an frugal number, since it uses more digits than its factorization.

132955036900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10446 (or 5223 counting only the distinct ones).

The product of its (nonzero) digits is 218700, while the sum is 43.

The spelling of 132955036900 in words is "one hundred thirty-two billion, nine hundred fifty-five million, thirty-six thousand, nine hundred".