133492894132224 has 288 divisors, whose sum is σ = 391314391584480. Its totient is φ = 40439470325760.

The previous prime is 133492894132211. The next prime is 133492894132229. The reversal of 133492894132224 is 422231498294331.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (133492894132229) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2470370934 + ... + 2470424970.

It is an arithmetic number, because the mean of its divisors is an integer number (1358730526335).

Almost surely, 2^{133492894132224} 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 133492894132224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195657195792240).

133492894132224 is an abundant number, since it is smaller than the sum of its proper divisors (257821497452256).

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

133492894132224 is a wasteful number, since it uses less digits than its factorization.

133492894132224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57407 (or 57376 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 57.

The spelling of 133492894132224 in words is "one hundred thirty-three trillion, four hundred ninety-two billion, eight hundred ninety-four million, one hundred thirty-two thousand, two hundred twenty-four".