133023001062564 has 96 divisors (see below), whose sum is σ = 349604157248640. Its totient is φ = 43732913554944.

The previous prime is 133023001062563. The next prime is 133023001062587. The reversal of 133023001062564 is 465260100320331.

133023001062564 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 2 + 30 + 0 + 1 + 0 + 62 + 564 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (133023001062563) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 940041064 + ... + 940182560.

It is an arithmetic number, because the mean of its divisors is an integer number (3641709971340).

Almost surely, 2^{133023001062564} is an apocalyptic number.

It is an amenable number.

133023001062564 is an abundant number, since it is smaller than the sum of its proper divisors (216581156186076).

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

133023001062564 is a wasteful number, since it uses less digits than its factorization.

133023001062564 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 260826 (or 260818 counting only the distinct ones).

The product of its (nonzero) digits is 77760, while the sum is 36.

Adding to 133023001062564 its reverse (465260100320331), we get a palindrome (598283101382895).

The spelling of 133023001062564 in words is "one hundred thirty-three trillion, twenty-three billion, one million, sixty-two thousand, five hundred sixty-four".