It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 789 is not a prime number.
For example, 137 789 can be divided by 227: 137 789 / 227 = 607.
For 137 789 to be a prime number, it would have been required that 137 789 has only two divisors, i.e., itself and 1.
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137 789 is an odd number, because it is not evenly divisible by 2.
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A number is a perfect square (or a square number) if its square root is an integer; that is to say, it is the product of an integer with itself. Here, the square root of 137 789 is about 371.199.
Thus, the square root of 137 789 is not an integer, and therefore 137 789 is not a square number.
The square of a number (here 137 789) is the result of the product of this number (137 789) by itself (i.e., 137 789 × 137 789); the square of 137 789 is sometimes called "raising 137 789 to the power 2", or "137 789 squared".
The square of 137 789 is 18 985 808 521 because 137 789 × 137 789 = 137 7892 = 18 985 808 521.
As a consequence, 137 789 is the square root of 18 985 808 521.
The multiples of 137 789 are all integers evenly divisible by 137 789, that is all numbers such that the remainder of the division by 137 789 is zero. There are infinitely many multiples of 137 789. The smallest multiples of 137 789 are: