133040827584 has 336 divisors, whose sum is σ = 458078799360. Its totient is φ = 36093911040.

The previous prime is 133040827567. The next prime is 133040827597. The reversal of 133040827584 is 485728040331.

133040827584 is a `hidden beast` number, since 1 + 3 + 3 + 0 + 40 + 8 + 27 + 584 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 12885144 + ... + 12895464.

It is an arithmetic number, because the mean of its divisors is an integer number (1363329760).

Almost surely, 2^133040827584 is an apocalyptic number.

133040827584 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 133040827584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229039399680).

133040827584 is an abundant number, since it is smaller than the sum of its proper divisors (325037971776).

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

133040827584 is a wasteful number, since it uses less digits than its factorization.

133040827584 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10508 (or 10495 counting only the distinct ones).

The product of its (nonzero) digits is 645120, while the sum is 45.

The spelling of 133040827584 in words is "one hundred thirty-three billion, forty million, eight hundred twenty-seven thousand, five hundred eighty-four".