133005353 has 8 divisors (see below), whose sum is σ = 146730696. Its totient is φ = 119779200.

The previous prime is 133005329. The next prime is 133005403. The reversal of 133005353 is 353500331.

It can be written as a sum of positive squares in 4 ways, for example, as 3341584 + 129663769 = 1828^2 + 11387^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 133005353 - 2⁶ = 133005289 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133005053) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 124238 + ... + 125303.

It is an arithmetic number, because the mean of its divisors is an integer number (18341337).

Almost surely, 2^133005353 is an apocalyptic number.

133005353 is a gapful number since it is divisible by the number (13) formed by its first and last digit.

It is an amenable number.

133005353 is a deficient number, since it is larger than the sum of its proper divisors (13725343).

133005353 is a wasteful number, since it uses less digits than its factorization.

133005353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 249595.

The product of its (nonzero) digits is 2025, while the sum is 23.

The square root of 133005353 is about 11532.7946743190. The cubic root of 133005353 is about 510.4537202840.

Adding to 133005353 its reverse (353500331), we get a palindrome (486505684).

The spelling of 133005353 in words is "one hundred thirty-three million, five thousand, three hundred fifty-three".