201645137 has 2 divisors, whose sum is σ = 201645138. Its totient is φ = 201645136.

The previous prime is 201645113. The next prime is 201645151. The reversal of 201645137 is 731546102.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 118178641 + 83466496 = 10871^2 + 9136^2 .

It is a cyclic number.

It is not a de Polignac number, because 201645137 - 2²⁶ = 134536273 is a prime.

It is a super-3 number, since 3×201645137³ (a number of 26 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is not a weakly prime, because it can be changed into another prime (201645937) 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, 100822568 + 100822569.

It is an arithmetic number, because the mean of its divisors is an integer number (100822569).

Almost surely, 2^201645137 is an apocalyptic number.

It is an amenable number.

201645137 is a deficient number, since it is larger than the sum of its proper divisors (1).

201645137 is an equidigital number, since it uses as much as digits as its factorization.

201645137 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 5040, while the sum is 29.

The square root of 201645137 is about 14200.1808791297. The cubic root of 201645137 is about 586.4026410016.

The spelling of 201645137 in words is "two hundred one million, six hundred forty-five thousand, one hundred thirty-seven".