It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 508 is not a prime number.
For example, 137 508 can be divided by 2: 137 508 / 2 = 68 754.
For 137 508 to be a prime number, it would have been required that 137 508 has only two divisors, i.e., itself and 1.
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137 508 is an even number, because it is evenly divisible by 2: 137 508 / 2 = 68 754.
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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 137 508 is about 370.821.
Thus, the square root of 137 508 is not an integer, and therefore 137 508 is not a square number.
The square of a number (here 137 508) is the result of the product of this number (137 508) by itself (i.e., 137 508 × 137 508); the square of 137 508 is sometimes called "raising 137 508 to the power 2", or "137 508 squared".
The square of 137 508 is 18 908 450 064 because 137 508 × 137 508 = 137 5082 = 18 908 450 064.
As a consequence, 137 508 is the square root of 18 908 450 064.
The multiples of 137 508 are all integers evenly divisible by 137 508, that is all numbers such that the remainder of the division by 137 508 is zero. There are infinitely many multiples of 137 508. The smallest multiples of 137 508 are: