132180089241600 has 855 divisors, whose sum is σ = 490668800582037. Its totient is φ = 35177386475520.

The previous prime is 132180089241589. The next prime is 132180089241659. The reversal of 132180089241600 is 6142980081231.

The square root of 132180089241600 is 11496960.

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

132180089241600 is a `hidden beast` number, since 1 + 3 + 2 + 18 + 0 + 0 + 8 + 9 + 24 + 1 + 600 = 666.

It can be written as a sum of positive squares in only one way, i.e., 47584832126976 + 84595257114624 = 6898176^2 + 9197568^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 264889958151 + ... + 264889958649.

Almost surely, 2^{132180089241600} is an apocalyptic number.

132180089241600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

132180089241600 is the 11496960-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132180089241600

132180089241600 is an abundant number, since it is smaller than the sum of its proper divisors (358488711340437).

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

132180089241600 is an frugal number, since it uses more digits than its factorization.

132180089241600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1056 (or 509 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 132180089241600 in words is "one hundred thirty-two trillion, one hundred eighty billion, eighty-nine million, two hundred forty-one thousand, six hundred".