133684299917280 has 864 divisors, whose sum is σ = 561008172160800. Its totient is φ = 28823870767104.

The previous prime is 133684299917257. The next prime is 133684299917303. The reversal of 133684299917280 is 82719992486331.

133684299917280 is a `hidden beast` number, since 1 + 3 + 36 + 8 + 429 + 9 + 91 + 7 + 2 + 80 = 666.

It is an interprime number because it is at equal distance from previous prime (133684299917257) and next prime (133684299917303).

It is a hoax number, since the sum of its digits (72) coincides with the sum of the digits of its distinct prime factors.

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 = 133684299917199 and 133684299917208.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 312155136 + ... + 312583104.

It is an arithmetic number, because the mean of its divisors is an integer number (649315014075).

Almost surely, 2^{133684299917280} is an apocalyptic number.

133684299917280 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 133684299917280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (280504086080400).

133684299917280 is an abundant number, since it is smaller than the sum of its proper divisors (427323872243520).

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

133684299917280 is a wasteful number, since it uses less digits than its factorization.

133684299917280 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 428256 (or 428238 counting only the distinct ones).

The product of its (nonzero) digits is 282175488, while the sum is 72.

The spelling of 133684299917280 in words is "one hundred thirty-three trillion, six hundred eighty-four billion, two hundred ninety-nine million, nine hundred seventeen thousand, two hundred eighty".