133466343346560 has 768 divisors, whose sum is σ = 508512272716800. Its totient is φ = 29672247951360.

The previous prime is 133466343346547. The next prime is 133466343346643. The reversal of 133466343346560 is 65643343664331.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 133466343346560.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 966791140 + ... + 966929180.

It is an arithmetic number, because the mean of its divisors is an integer number (662125355100).

Almost surely, 2^{133466343346560} is an apocalyptic number.

133466343346560 is a gapful number since it is divisible by the number (10) 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 133466343346560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254256136358400).

133466343346560 is an abundant number, since it is smaller than the sum of its proper divisors (375045929370240).

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

133466343346560 is a wasteful number, since it uses less digits than its factorization.

133466343346560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 138359 (or 138340 counting only the distinct ones).

The product of its (nonzero) digits is 100776960, while the sum is 57.

The spelling of 133466343346560 in words is "one hundred thirty-three trillion, four hundred sixty-six billion, three hundred forty-three million, three hundred forty-six thousand, five hundred sixty".