It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 108 is not a prime number.
For example, 137 108 can be divided by 2: 137 108 / 2 = 68 554.
For 137 108 to be a prime number, it would have been required that 137 108 has only two divisors, i.e., itself and 1.
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137 108 is an even number, because it is evenly divisible by 2: 137 108 / 2 = 68 554.
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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 137 108 is about 370.281.
Thus, the square root of 137 108 is not an integer, and therefore 137 108 is not a square number.
The square of a number (here 137 108) is the result of the product of this number (137 108) by itself (i.e., 137 108 × 137 108); the square of 137 108 is sometimes called "raising 137 108 to the power 2", or "137 108 squared".
The square of 137 108 is 18 798 603 664 because 137 108 × 137 108 = 137 1082 = 18 798 603 664.
As a consequence, 137 108 is the square root of 18 798 603 664.
The multiples of 137 108 are all integers evenly divisible by 137 108, that is all numbers such that the remainder of the division by 137 108 is zero. There are infinitely many multiples of 137 108. The smallest multiples of 137 108 are: