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137666229137 is a prime number
BaseRepresentation
bin1000000000110110001…
…0111111001110010001
3111011100012022000222022
42000031202333032101
54223420023313022
6143124253021225
712642332432423
oct2001542771621
9434305260868
10137666229137
1153424aa7598
1222820184815
13cc9c2246a8
14693d6cc813
1538aadcdc42
hex200d8bf391

137666229137 has 2 divisors, whose sum is σ = 137666229138. Its totient is φ = 137666229136.

The previous prime is 137666229119. The next prime is 137666229157. The reversal of 137666229137 is 731922666731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 90033603136 + 47632626001 = 300056^2 + 218249^2 .

It is an emirp because it is prime and its reverse (731922666731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137666229137 - 212 = 137666225041 is a prime.

It is not a weakly prime, because it can be changed into another prime (137666229157) 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 as a sum of consecutive naturals, namely, 68833114568 + 68833114569.

It is an arithmetic number, because the mean of its divisors is an integer number (68833114569).

Almost surely, 2137666229137 is an apocalyptic number.

It is an amenable number.

137666229137 is a deficient number, since it is larger than the sum of its proper divisors (1).

137666229137 is an equidigital number, since it uses as much as digits as its factorization.

137666229137 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3429216, while the sum is 53.

The spelling of 137666229137 in words is "one hundred thirty-seven billion, six hundred sixty-six million, two hundred twenty-nine thousand, one hundred thirty-seven".