133224000 has 448 divisors, whose sum is σ = 550298112. Its totient is φ = 27648000.

The previous prime is 133223891. The next prime is 133224001. The reversal of 133224000 is 422331.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133224001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2183970 + ... + 2184030.

It is an arithmetic number, because the mean of its divisors is an integer number (1228344).

Almost surely, 2^133224000 is an apocalyptic number.

133224000 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 133224000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275149056).

133224000 is an abundant number, since it is smaller than the sum of its proper divisors (417074112).

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

133224000 is a wasteful number, since it uses less digits than its factorization.

133224000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 111 (or 91 counting only the distinct ones).

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

The square root of 133224000 is about 11542.2701406612. The cubic root of 133224000 is about 510.7332781361.

Adding to 133224000 its reverse (422331), we get a palindrome (133646331).

The spelling of 133224000 in words is "one hundred thirty-three million, two hundred twenty-four thousand".