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135717937 is a prime number
BaseRepresentation
bin10000001011011…
…10010000110001
3100110101012000021
420011232100301
5234220433222
621244523441
73235404055
oct1005562061
9313335007
10135717937
116a677993
1239550581
132216b294
141404bc65
15bdacac7
hex816e431

135717937 has 2 divisors, whose sum is σ = 135717938. Its totient is φ = 135717936.

The previous prime is 135717899. The next prime is 135717973. The reversal of 135717937 is 739717531.

Together with next prime (135717973) it forms an Ormiston pair, because they use the same digits, order apart.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 131813361 + 3904576 = 11481^2 + 1976^2 .

It is a cyclic number.

It is not a de Polignac number, because 135717937 - 27 = 135717809 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 135717893 and 135717902.

It is not a weakly prime, because it can be changed into another prime (135717737) 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, 67858968 + 67858969.

It is an arithmetic number, because the mean of its divisors is an integer number (67858969).

Almost surely, 2135717937 is an apocalyptic number.

It is an amenable number.

135717937 is a deficient number, since it is larger than the sum of its proper divisors (1).

135717937 is an equidigital number, since it uses as much as digits as its factorization.

135717937 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 138915, while the sum is 43.

The square root of 135717937 is about 11649.8041614441. The cubic root of 135717937 is about 513.9005507911.

The spelling of 135717937 in words is "one hundred thirty-five million, seven hundred seventeen thousand, nine hundred thirty-seven".