It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 478 is not a prime number.
For example, 137 478 can be divided by 2: 137 478 / 2 = 68 739.
For 137 478 to be a prime number, it would have been required that 137 478 has only two divisors, i.e., itself and 1.
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137 478 is an even number, because it is evenly divisible by 2: 137 478 / 2 = 68 739.
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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 137 478 is about 370.780.
Thus, the square root of 137 478 is not an integer, and therefore 137 478 is not a square number.
The square of a number (here 137 478) is the result of the product of this number (137 478) by itself (i.e., 137 478 × 137 478); the square of 137 478 is sometimes called "raising 137 478 to the power 2", or "137 478 squared".
The square of 137 478 is 18 900 200 484 because 137 478 × 137 478 = 137 4782 = 18 900 200 484.
As a consequence, 137 478 is the square root of 18 900 200 484.
The multiples of 137 478 are all integers evenly divisible by 137 478, that is all numbers such that the remainder of the division by 137 478 is zero. There are infinitely many multiples of 137 478. The smallest multiples of 137 478 are: