133307490033984 has 224 divisors, whose sum is σ = 407041918488576. Its totient is φ = 37716809472000.

The previous prime is 133307490033929. The next prime is 133307490034001. The reversal of 133307490033984 is 489330094703331.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 57218409 + ... + 59502615.

It is an arithmetic number, because the mean of its divisors is an integer number (1817151421824).

Almost surely, 2^{133307490033984} is an apocalyptic number.

133307490033984 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 133307490033984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203520959244288).

133307490033984 is an abundant number, since it is smaller than the sum of its proper divisors (273734428454592).

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

133307490033984 is a wasteful number, since it uses less digits than its factorization.

133307490033984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2284653 (or 2284643 counting only the distinct ones).

The product of its (nonzero) digits is 17635968, while the sum is 57.

The spelling of 133307490033984 in words is "one hundred thirty-three trillion, three hundred seven billion, four hundred ninety million, thirty-three thousand, nine hundred eighty-four".