132205824 has 144 divisors (see below), whose sum is σ = 404221440. Its totient is φ = 42577920.

The previous prime is 132205823. The next prime is 132205837. The reversal of 132205824 is 428502231.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132205823) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 213964 + ... + 214580.

Almost surely, 2^132205824 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132205824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202110720).

132205824 is an abundant number, since it is smaller than the sum of its proper divisors (272015616).

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

132205824 is an equidigital number, since it uses as much as digits as its factorization.

132205824 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 673 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 132205824 is about 11498.0791439266. The cubic root of 132205824 is about 509.4288415567.

It can be divided in two parts, 13220 and 5824, that added together give a square (19044 = 138²).

The spelling of 132205824 in words is "one hundred thirty-two million, two hundred five thousand, eight hundred twenty-four".