It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 618 is not a prime number.
For example, 137 618 can be divided by 2: 137 618 / 2 = 68 809.
For 137 618 to be a prime number, it would have been required that 137 618 has only two divisors, i.e., itself and 1.
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137 618 is an even number, because it is evenly divisible by 2: 137 618 / 2 = 68 809.
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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 137 618 is about 370.969.
Thus, the square root of 137 618 is not an integer, and therefore 137 618 is not a square number.
The square of a number (here 137 618) is the result of the product of this number (137 618) by itself (i.e., 137 618 × 137 618); the square of 137 618 is sometimes called "raising 137 618 to the power 2", or "137 618 squared".
The square of 137 618 is 18 938 713 924 because 137 618 × 137 618 = 137 6182 = 18 938 713 924.
As a consequence, 137 618 is the square root of 18 938 713 924.
The multiples of 137 618 are all integers evenly divisible by 137 618, that is all numbers such that the remainder of the division by 137 618 is zero. There are infinitely many multiples of 137 618. The smallest multiples of 137 618 are: