133581893281920 has 448 divisors, whose sum is σ = 479068809508800. Its totient is φ = 35601637902336.

The previous prime is 133581893281919. The next prime is 133581893281979. The reversal of 133581893281920 is 29182398185331.

133581893281920 is a `hidden beast` number, since 1 + 3 + 3 + 581 + 8 + 9 + 3 + 28 + 1 + 9 + 20 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 831796191 + ... + 831956769.

It is an arithmetic number, because the mean of its divisors is an integer number (1069350021225).

Almost surely, 2^{133581893281920} is an apocalyptic number.

133581893281920 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 133581893281920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239534404754400).

133581893281920 is an abundant number, since it is smaller than the sum of its proper divisors (345486916226880).

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

133581893281920 is an equidigital number, since it uses as much as digits as its factorization.

133581893281920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162399 (or 162372 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 133581893281920 in words is "one hundred thirty-three trillion, five hundred eighty-one billion, eight hundred ninety-three million, two hundred eighty-one thousand, nine hundred twenty".