133575984 has 120 divisors (see below), whose sum is σ = 385777392. Its totient is φ = 43130880.

The previous prime is 133575983. The next prime is 133575989. The reversal of 133575984 is 489575331.

133575984 is a `hidden beast` number, since 1 + 3 + 3 + 57 + 598 + 4 = 666.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

Its product of digits (453600) is a multiple of the sum of its prime factors (315).

It is not an unprimeable number, because it can be changed into a prime (133575983) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1019599 + ... + 1019729.

Almost surely, 2^133575984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 133575984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192888696).

133575984 is an abundant number, since it is smaller than the sum of its proper divisors (252201408).

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

133575984 is a wasteful number, since it uses less digits than its factorization.

133575984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 315 (or 306 counting only the distinct ones).

The product of its digits is 453600, while the sum is 45.

The square root of 133575984 is about 11557.5076898093. The cubic root of 133575984 is about 511.1826762775.

The spelling of 133575984 in words is "one hundred thirty-three million, five hundred seventy-five thousand, nine hundred eighty-four".