133222313184 has 96 divisors (see below), whose sum is σ = 353041145856. Its totient is φ = 43985410560.

The previous prime is 133222313177. The next prime is 133222313197. The reversal of 133222313184 is 481313222331.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

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, 7684494 + ... + 7701810.

It is an arithmetic number, because the mean of its divisors is an integer number (3677511936).

Almost surely, 2^133222313184 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 133222313184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176520572928).

133222313184 is an abundant number, since it is smaller than the sum of its proper divisors (219818832672).

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

133222313184 is a wasteful number, since it uses less digits than its factorization.

133222313184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18088 (or 18080 counting only the distinct ones).

The product of its digits is 20736, while the sum is 33.

The spelling of 133222313184 in words is "one hundred thirty-three billion, two hundred twenty-two million, three hundred thirteen thousand, one hundred eighty-four".