133852953359664 has 960 divisors, whose sum is σ = 480689473904640. Its totient is φ = 33759161856000.

The previous prime is 133852953359639. The next prime is 133852953359677. The reversal of 133852953359664 is 466953359258331.

133852953359664 is a `hidden beast` number, since 1 + 3 + 3 + 8 + 5 + 29 + 5 + 3 + 3 + 596 + 6 + 4 = 666.

It is a super-2 number, since 2×133852953359664² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 133852953359592 and 133852953359601.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 161853631219 + ... + 161853632045.

It is an arithmetic number, because the mean of its divisors is an integer number (500718201984).

Almost surely, 2^{133852953359664} is an apocalyptic number.

133852953359664 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 133852953359664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240344736952320).

133852953359664 is an abundant number, since it is smaller than the sum of its proper divisors (346836520544976).

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

133852953359664 is a wasteful number, since it uses less digits than its factorization.

133852953359664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2150 (or 2141 counting only the distinct ones).

The product of its digits is 1889568000, while the sum is 72.

The spelling of 133852953359664 in words is "one hundred thirty-three trillion, eight hundred fifty-two billion, nine hundred fifty-three million, three hundred fifty-nine thousand, six hundred sixty-four".