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137080660817 is a prime number
BaseRepresentation
bin111111110101010100…
…1001110001101010001
3111002211101110002020202
41333222221032031101
54221220122121232
6142550214144545
712621662251232
oct1775251161521
9432741402222
10137080660817
1153154506431
1222698052155
13cc07b0c869
1468c5a21089
1538747b2162
hex1feaa4e351

137080660817 has 2 divisors, whose sum is σ = 137080660818. Its totient is φ = 137080660816.

The previous prime is 137080660699. The next prime is 137080660853. The reversal of 137080660817 is 718066080731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 104171435536 + 32909225281 = 322756^2 + 181409^2 .

It is an emirp because it is prime and its reverse (718066080731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137080660817 - 212 = 137080656721 is a prime.

It is a super-3 number, since 3×1370806608173 (a number of 34 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 (137080660117) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68540330408 + 68540330409.

It is an arithmetic number, because the mean of its divisors is an integer number (68540330409).

Almost surely, 2137080660817 is an apocalyptic number.

It is an amenable number.

137080660817 is a deficient number, since it is larger than the sum of its proper divisors (1).

137080660817 is an equidigital number, since it uses as much as digits as its factorization.

137080660817 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 338688, while the sum is 47.

The spelling of 137080660817 in words is "one hundred thirty-seven billion, eighty million, six hundred sixty thousand, eight hundred seventeen".