133535882801664 has 240 divisors, whose sum is σ = 440709554533248. Its totient is φ = 38130611060736.

The previous prime is 133535882801641. The next prime is 133535882801729. The reversal of 133535882801664 is 466108288535331.

133535882801664 is a `hidden beast` number, since 1 + 3 + 3 + 535 + 8 + 8 + 2 + 80 + 16 + 6 + 4 = 666.

It is a super-2 number, since 2×133535882801664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

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, 53518669 + ... + 55958195.

Almost surely, 2^{133535882801664} is an apocalyptic number.

133535882801664 is a gapful number since it is divisible by the number (14) 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 133535882801664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220354777266624).

133535882801664 is an abundant number, since it is smaller than the sum of its proper divisors (307173671731584).

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

133535882801664 is a wasteful number, since it uses less digits than its factorization.

133535882801664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2441255 (or 2441236 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 133535882801664 in words is "one hundred thirty-three trillion, five hundred thirty-five billion, eight hundred eighty-two million, eight hundred one thousand, six hundred sixty-four".