133105585 has 8 divisors (see below), whose sum is σ = 159901056. Its totient is φ = 106368240.

The previous prime is 133105543. The next prime is 133105589. The reversal of 133105585 is 585501331.

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

It is not a de Polignac number, because 133105585 - 2¹⁵ = 133072817 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (133105589) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9321 + ... + 18790.

It is an arithmetic number, because the mean of its divisors is an integer number (19987632).

Almost surely, 2^133105585 is an apocalyptic number.

It is an amenable number.

133105585 is a deficient number, since it is larger than the sum of its proper divisors (26795471).

133105585 is an equidigital number, since it uses as much as digits as its factorization.

133105585 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29063.

The product of its (nonzero) digits is 9000, while the sum is 31.

The square root of 133105585 is about 11537.1393768126. The cubic root of 133105585 is about 510.5819129952.

The spelling of 133105585 in words is "one hundred thirty-three million, one hundred five thousand, five hundred eighty-five".