132224000 has 88 divisors (see below), whose sum is σ = 330189288. Its totient is φ = 52838400.

The previous prime is 132223997. The next prime is 132224009. The reversal of 132224000 is 422231.

It can be written as a sum of positive squares in 4 ways, for example, as 984064 + 131239936 = 992^2 + 11456^2 .

It is a hoax number, since the sum of its digits (14) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132224009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127484 + ... + 128516.

It is an arithmetic number, because the mean of its divisors is an integer number (3752151).

Almost surely, 2^132224000 is an apocalyptic number.

132224000 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 132224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165094644).

132224000 is an abundant number, since it is smaller than the sum of its proper divisors (197965288).

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

132224000 is an equidigital number, since it uses as much as digits as its factorization.

132224000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1068 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 132224000 is about 11498.8695096518. The cubic root of 132224000 is about 509.4521863536.

Adding to 132224000 its reverse (422231), we get a palindrome (132646231).

The spelling of 132224000 in words is "one hundred thirty-two million, two hundred twenty-four thousand".