133106667 has 16 divisors (see below), whose sum is σ = 180668928. Its totient is φ = 87151680.

The previous prime is 133106627. The next prime is 133106683. The reversal of 133106667 is 766601331.

It is not a de Polignac number, because 133106667 - 2¹⁴ = 133090283 is a prime.

It is not an unprimeable number, because it can be changed into a prime (133106627) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56442 + ... + 58752.

It is an arithmetic number, because the mean of its divisors is an integer number (11291808).

Almost surely, 2^133106667 is an apocalyptic number.

133106667 is a deficient number, since it is larger than the sum of its proper divisors (47562261).

133106667 is a wasteful number, since it uses less digits than its factorization.

133106667 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2650.

The product of its (nonzero) digits is 13608, while the sum is 33.

The square root of 133106667 is about 11537.1862687572. The cubic root of 133106667 is about 510.5832964787.

Adding to 133106667 its reverse (766601331), we get a palindrome (899707998).

The spelling of 133106667 in words is "one hundred thirty-three million, one hundred six thousand, six hundred sixty-seven".