It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 126 is not a prime number.
For example, 137 126 can be divided by 2: 137 126 / 2 = 68 563.
For 137 126 to be a prime number, it would have been required that 137 126 has only two divisors, i.e., itself and 1.
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137 126 is an even number, because it is evenly divisible by 2: 137 126 / 2 = 68 563.
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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 137 126 is about 370.305.
Thus, the square root of 137 126 is not an integer, and therefore 137 126 is not a square number.
The square of a number (here 137 126) is the result of the product of this number (137 126) by itself (i.e., 137 126 × 137 126); the square of 137 126 is sometimes called "raising 137 126 to the power 2", or "137 126 squared".
The square of 137 126 is 18 803 539 876 because 137 126 × 137 126 = 137 1262 = 18 803 539 876.
As a consequence, 137 126 is the square root of 18 803 539 876.
The multiples of 137 126 are all integers evenly divisible by 137 126, that is all numbers such that the remainder of the division by 137 126 is zero. There are infinitely many multiples of 137 126. The smallest multiples of 137 126 are: