133224 has 64 divisors (see below), whose sum is σ = 416640. Its totient is φ = 34560.

The previous prime is 133213. The next prime is 133241. The reversal of 133224 is 422331.

It is a Cunningham number, because it is equal to 365²-1.

It is a nude number because it is divisible by every one of its digits.

It is a plaindrome in base 9.

It is a zygodrome in base 9.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2154 + ... + 2214.

It is an arithmetic number, because the mean of its divisors is an integer number (6510).

2¹³³²²⁴ is an apocalyptic number.

133224 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 133224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208320).

133224 is an abundant number, since it is smaller than the sum of its proper divisors (283416).

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

133224 is a wasteful number, since it uses less digits than its factorization.

133224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 90 (or 86 counting only the distinct ones).

The product of its digits is 144, while the sum is 15.

The square root of 133224 is about 364.9986301344. The cubic root of 133224 is about 51.0733278136.

Adding to 133224 its reverse (422331), we get a palindrome (555555).

It can be divided in two parts, 133 and 224, that multiplied together give a palindrome (29792).

The spelling of 133224 in words is "one hundred thirty-three thousand, two hundred twenty-four".