Is 137705567 a prime number?
It is possible to find out using mathematical methods whether a given integer is a prime number or not.
Yes, 137 705 567 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 137 705 567, the only two divisors are 1 and 137 705 567. Therefore 137 705 567 is a prime number.
As a consequence, 137 705 567 is only a multiple of 1 and 137 705 567.
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Since 137705567 is a prime number, 137705567 is also a deficient number, that is to say 137705567 is a natural integer that is strictly larger than the sum of its proper divisors, i.e., the divisors of 137705567 without 137705567 itself (that is 1, by definition!).