133433304224 has 96 divisors (see below), whose sum is σ = 289817740800. Its totient is φ = 59967616000.

The previous prime is 133433304197. The next prime is 133433304227. The reversal of 133433304224 is 422403334331.

It is a super-2 number, since 2×133433304224² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is not an unprimeable number, because it can be changed into a prime (133433304227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30679202 + ... + 30683550.

It is an arithmetic number, because the mean of its divisors is an integer number (3018934800).

Almost surely, 2^133433304224 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 133433304224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (144908870400).

133433304224 is an abundant number, since it is smaller than the sum of its proper divisors (156384436576).

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

133433304224 is a wasteful number, since it uses less digits than its factorization.

133433304224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5334 (or 5326 counting only the distinct ones).

The product of its (nonzero) digits is 62208, while the sum is 32.

Adding to 133433304224 its reverse (422403334331), we get a palindrome (555836638555).

The spelling of 133433304224 in words is "one hundred thirty-three billion, four hundred thirty-three million, three hundred four thousand, two hundred twenty-four".