133400133 has 12 divisors (see below), whose sum is σ = 197897388. Its totient is φ = 86529600.

The previous prime is 133400119. The next prime is 133400143. The reversal of 133400133 is 331004331.

133400133 is a `hidden beast` number, since 133 + 400 + 133 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 70006689 + 63393444 = 8367^2 + 7962^2 .

It is not a de Polignac number, because 133400133 - 2⁴ = 133400117 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (133400143) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 199968 + ... + 200633.

It is an arithmetic number, because the mean of its divisors is an integer number (16491449).

Almost surely, 2^133400133 is an apocalyptic number.

It is an amenable number.

133400133 is a deficient number, since it is larger than the sum of its proper divisors (64497255).

133400133 is a wasteful number, since it uses less digits than its factorization.

133400133 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400644 (or 400641 counting only the distinct ones).

The product of its (nonzero) digits is 324, while the sum is 18.

The square root of 133400133 is about 11549.8975320130. The cubic root of 133400133 is about 510.9582560432.

Adding to 133400133 its reverse (331004331), we get a palindrome (464404464).

The spelling of 133400133 in words is "one hundred thirty-three million, four hundred thousand, one hundred thirty-three".