132032320224 has 768 divisors, whose sum is σ = 451480780800. Its totient is φ = 32926924800.

The previous prime is 132032320201. The next prime is 132032320229. The reversal of 132032320224 is 422023230231.

132032320224 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-4 number, since 4×132032320224⁴ (a number of 46 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a junction number, because it is equal to n+sod(n) for n = 132032320194 and 132032320203.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132032320229) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1483509172 + ... + 1483509260.

It is an arithmetic number, because the mean of its divisors is an integer number (587865600).

Almost surely, 2^132032320224 is an apocalyptic number.

132032320224 is a gapful number since it is divisible by the number (14) 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 132032320224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225740390400).

132032320224 is an abundant number, since it is smaller than the sum of its proper divisors (319448460576).

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

132032320224 is a wasteful number, since it uses less digits than its factorization.

132032320224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 287 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 24.

Adding to 132032320224 its reverse (422023230231), we get a palindrome (554055550455).

The spelling of 132032320224 in words is "one hundred thirty-two billion, thirty-two million, three hundred twenty thousand, two hundred twenty-four".