It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 374 is not a prime number.
For example, 137 374 can be divided by 2: 137 374 / 2 = 68 687.
For 137 374 to be a prime number, it would have been required that 137 374 has only two divisors, i.e., itself and 1.
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137 374 is an even number, because it is evenly divisible by 2: 137 374 / 2 = 68 687.
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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 137 374 is about 370.640.
Thus, the square root of 137 374 is not an integer, and therefore 137 374 is not a square number.
The square of a number (here 137 374) is the result of the product of this number (137 374) by itself (i.e., 137 374 × 137 374); the square of 137 374 is sometimes called "raising 137 374 to the power 2", or "137 374 squared".
The square of 137 374 is 18 871 615 876 because 137 374 × 137 374 = 137 3742 = 18 871 615 876.
As a consequence, 137 374 is the square root of 18 871 615 876.
The multiples of 137 374 are all integers evenly divisible by 137 374, that is all numbers such that the remainder of the division by 137 374 is zero. There are infinitely many multiples of 137 374. The smallest multiples of 137 374 are: