132530045200 has 180 divisors, whose sum is σ = 371937801972. Its totient is φ = 45248716800.

The previous prime is 132530045189. The next prime is 132530045213. The reversal of 132530045200 is 2540035231.

132530045200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 6 ways, for example, as 13660416 + 132516384784 = 3696^2 + 364028^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 4709572 + ... + 4737628.

Almost surely, 2^132530045200 is an apocalyptic number.

132530045200 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 132530045200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185968900986).

132530045200 is an abundant number, since it is smaller than the sum of its proper divisors (239407756772).

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

132530045200 is a wasteful number, since it uses less digits than its factorization.

132530045200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28330 (or 28312 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

The spelling of 132530045200 in words is "one hundred thirty-two billion, five hundred thirty million, forty-five thousand, two hundred".