165040133 has 2 divisors, whose sum is σ = 165040134. Its totient is φ = 165040132.

The previous prime is 165040069. The next prime is 165040151. The reversal of 165040133 is 331040561.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 121506529 + 43533604 = 11023^2 + 6598^2 .

It is a cyclic number.

It is not a de Polignac number, because 165040133 - 2⁶ = 165040069 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 165040099 and 165040108.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (165040153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 82520066 + 82520067.

It is an arithmetic number, because the mean of its divisors is an integer number (82520067).

Almost surely, 2^165040133 is an apocalyptic number.

It is an amenable number.

165040133 is a deficient number, since it is larger than the sum of its proper divisors (1).

165040133 is an equidigital number, since it uses as much as digits as its factorization.

165040133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 1080, while the sum is 23.

The square root of 165040133 is about 12846.7946585909. The cubic root of 165040133 is about 548.5251206770.

Adding to 165040133 its reverse (331040561), we get a palindrome (496080694).

The spelling of 165040133 in words is "one hundred sixty-five million, forty thousand, one hundred thirty-three".