146800133309 has 2 divisors, whose sum is σ = 146800133310. Its totient is φ = 146800133308.

The previous prime is 146800133297. The next prime is 146800133317. The reversal of 146800133309 is 903331008641.

It is a happy number.

146800133309 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 144554321209 + 2245812100 = 380203^2 + 47390^2 .

It is an emirp because it is prime and its reverse (903331008641) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 146800133309 - 2³⁶ = 78080656573 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (146800133369) 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 as a sum of consecutive naturals, namely, 73400066654 + 73400066655.

It is an arithmetic number, because the mean of its divisors is an integer number (73400066655).

Almost surely, 2^146800133309 is an apocalyptic number.

It is an amenable number.

146800133309 is a deficient number, since it is larger than the sum of its proper divisors (1).

146800133309 is an equidigital number, since it uses as much as digits as its factorization.

146800133309 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 46656, while the sum is 38.

The spelling of 146800133309 in words is "one hundred forty-six billion, eight hundred million, one hundred thirty-three thousand, three hundred nine".