133234643322 has 144 divisors (see below), whose sum is σ = 328888119456. Its totient is φ = 38622355200.

The previous prime is 133234643261. The next prime is 133234643357. The reversal of 133234643322 is 223346432331.

133234643322 is a `hidden beast` number, since 1 + 3 + 3 + 2 + 3 + 4 + 643 + 3 + 2 + 2 = 666.

It is a super-2 number, since 2×133234643322² (a number of 23 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 255728422 + ... + 255728942.

It is an arithmetic number, because the mean of its divisors is an integer number (2283945274).

Almost surely, 2^133234643322 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133234643322, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164444059728).

133234643322 is an abundant number, since it is smaller than the sum of its proper divisors (195653476134).

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

133234643322 is a wasteful number, since it uses less digits than its factorization.

133234643322 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1165 (or 641 counting only the distinct ones).

The product of its digits is 186624, while the sum is 36.

The spelling of 133234643322 in words is "one hundred thirty-three billion, two hundred thirty-four million, six hundred forty-three thousand, three hundred twenty-two".