It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 502 is not a prime number.
For example, 137 502 can be divided by 2: 137 502 / 2 = 68 751.
For 137 502 to be a prime number, it would have been required that 137 502 has only two divisors, i.e., itself and 1.
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137 502 is an even number, because it is evenly divisible by 2: 137 502 / 2 = 68 751.
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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 137 502 is about 370.813.
Thus, the square root of 137 502 is not an integer, and therefore 137 502 is not a square number.
The square of a number (here 137 502) is the result of the product of this number (137 502) by itself (i.e., 137 502 × 137 502); the square of 137 502 is sometimes called "raising 137 502 to the power 2", or "137 502 squared".
The square of 137 502 is 18 906 800 004 because 137 502 × 137 502 = 137 5022 = 18 906 800 004.
As a consequence, 137 502 is the square root of 18 906 800 004.
The multiples of 137 502 are all integers evenly divisible by 137 502, that is all numbers such that the remainder of the division by 137 502 is zero. There are infinitely many multiples of 137 502. The smallest multiples of 137 502 are: