Is 135378017 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 135 378 017 is a prime number.
Indeed, the definition of a prime numbers is to have exactly two distinct positive divisors, 1 and itself. A number is a divisor of another number when the remainder of Euclid’s division of the second one by the first one is zero. Concerning the number 135 378 017, the only two divisors are 1 and 135 378 017. Therefore 135 378 017 is a prime number.
As a consequence, 135 378 017 is only a multiple of 1 and 135 378 017.
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Since 135378017 is a prime number, 135378017 is also a deficient number, that is to say 135378017 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 135378017 without 135378017 itself (that is 1, by definition!).
