133023344466528 has 144 divisors (see below), whose sum is σ = 378439053698160. Its totient is φ = 44323077823488.

The previous prime is 133023344466503. The next prime is 133023344466569. The reversal of 133023344466528 is 825664443320331.

133023344466528 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 33 + 44 + 46 + 6 + 528 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 12193902738 + ... + 12193913646.

It is an arithmetic number, because the mean of its divisors is an integer number (2628048984015).

Almost surely, 2^{133023344466528} is an apocalyptic number.

133023344466528 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

133023344466528 is an abundant number, since it is smaller than the sum of its proper divisors (245415709231632).

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

133023344466528 is a wasteful number, since it uses less digits than its factorization.

133023344466528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24269 (or 24258 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 54.

Adding to 133023344466528 its reverse (825664443320331), we get a palindrome (958687787786859).

The spelling of 133023344466528 in words is "one hundred thirty-three trillion, twenty-three billion, three hundred forty-four million, four hundred sixty-six thousand, five hundred twenty-eight".