133085890529280 has 2304 divisors, whose sum is σ = 558794354227200. Its totient is φ = 29830749880320.

The previous prime is 133085890529257. The next prime is 133085890529309. The reversal of 133085890529280 is 82925098580331.

133085890529280 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 8 + 5 + 89 + 0 + 529 + 28 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 32200794094 + ... + 32200798226.

It is an arithmetic number, because the mean of its divisors is an integer number (242532271800).

Almost surely, 2^{133085890529280} is an apocalyptic number.

133085890529280 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 133085890529280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279397177113600).

133085890529280 is an abundant number, since it is smaller than the sum of its proper divisors (425708463697920).

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

133085890529280 is a wasteful number, since it uses less digits than its factorization.

133085890529280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4247 (or 4204 counting only the distinct ones).

The product of its (nonzero) digits is 37324800, while the sum is 63.

The spelling of 133085890529280 in words is "one hundred thirty-three trillion, eighty-five billion, eight hundred ninety million, five hundred twenty-nine thousand, two hundred eighty".