It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 474 is not a prime number.
For example, 137 474 can be divided by 2: 137 474 / 2 = 68 737.
For 137 474 to be a prime number, it would have been required that 137 474 has only two divisors, i.e., itself and 1.
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137 474 is an even number, because it is evenly divisible by 2: 137 474 / 2 = 68 737.
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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 137 474 is about 370.775.
Thus, the square root of 137 474 is not an integer, and therefore 137 474 is not a square number.
The square of a number (here 137 474) is the result of the product of this number (137 474) by itself (i.e., 137 474 × 137 474); the square of 137 474 is sometimes called "raising 137 474 to the power 2", or "137 474 squared".
The square of 137 474 is 18 899 100 676 because 137 474 × 137 474 = 137 4742 = 18 899 100 676.
As a consequence, 137 474 is the square root of 18 899 100 676.
The multiples of 137 474 are all integers evenly divisible by 137 474, that is all numbers such that the remainder of the division by 137 474 is zero. There are infinitely many multiples of 137 474. The smallest multiples of 137 474 are: