132205904352 has 192 divisors, whose sum is σ = 411767193600. Its totient is φ = 41176235520.

The previous prime is 132205904333. The next prime is 132205904357. The reversal of 132205904352 is 253409502231.

132205904352 is a `hidden beast` number, since 1 + 3 + 2 + 20 + 590 + 43 + 5 + 2 = 666.

132205904352 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×132205904352² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132205904357) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 691633 + ... + 861839.

It is an arithmetic number, because the mean of its divisors is an integer number (2144620800).

Almost surely, 2^132205904352 is an apocalyptic number.

132205904352 is a gapful number since it is divisible by the number (12) 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 132205904352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205883596800).

132205904352 is an abundant number, since it is smaller than the sum of its proper divisors (279561289248).

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

132205904352 is a wasteful number, since it uses less digits than its factorization.

132205904352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 170286 (or 170272 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 132205904352 in words is "one hundred thirty-two billion, two hundred five million, nine hundred four thousand, three hundred fifty-two".