133220706964224 has 288 divisors, whose sum is σ = 394748740528128. Its totient is φ = 39542231040000.

The previous prime is 133220706964223. The next prime is 133220706964343. The reversal of 133220706964224 is 422469607022331.

It is not an unprimeable number, because it can be changed into a prime (133220706964223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 268846609 + ... + 269341679.

It is an arithmetic number, because the mean of its divisors is an integer number (1370655349056).

Almost surely, 2^{133220706964224} 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 133220706964224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197374370264064).

133220706964224 is an abundant number, since it is smaller than the sum of its proper divisors (261528033563904).

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

133220706964224 is a wasteful number, since it uses less digits than its factorization.

133220706964224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 495755 (or 495741 counting only the distinct ones).

The product of its (nonzero) digits is 5225472, while the sum is 51.

The spelling of 133220706964224 in words is "one hundred thirty-three trillion, two hundred twenty billion, seven hundred six million, nine hundred sixty-four thousand, two hundred twenty-four".