133323562071072 has 480 divisors, whose sum is σ = 414596601619200. Its totient is φ = 41912861087232.

The previous prime is 133323562071071. The next prime is 133323562071127. The reversal of 133323562071072 is 270170265323331.

133323562071072 is a `hidden beast` number, since 1 + 3 + 3 + 3 + 2 + 3 + 5 + 620 + 7 + 10 + 7 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (133323562071071) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 16543433379 + ... + 16543441437.

It is an arithmetic number, because the mean of its divisors is an integer number (863742920040).

Almost surely, 2^{133323562071072} is an apocalyptic number.

133323562071072 is a gapful number since it is divisible by the number (12) 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 133323562071072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207298300809600).

133323562071072 is an abundant number, since it is smaller than the sum of its proper divisors (281273039548128).

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

133323562071072 is a wasteful number, since it uses less digits than its factorization.

133323562071072 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9570 (or 9553 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 45.

The spelling of 133323562071072 in words is "one hundred thirty-three trillion, three hundred twenty-three billion, five hundred sixty-two million, seventy-one thousand, seventy-two".