It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 698 is not a prime number.
For example, 137 698 can be divided by 2: 137 698 / 2 = 68 849.
For 137 698 to be a prime number, it would have been required that 137 698 has only two divisors, i.e., itself and 1.
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137 698 is an even number, because it is evenly divisible by 2: 137 698 / 2 = 68 849.
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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 137 698 is about 371.077.
Thus, the square root of 137 698 is not an integer, and therefore 137 698 is not a square number.
The square of a number (here 137 698) is the result of the product of this number (137 698) by itself (i.e., 137 698 × 137 698); the square of 137 698 is sometimes called "raising 137 698 to the power 2", or "137 698 squared".
The square of 137 698 is 18 960 739 204 because 137 698 × 137 698 = 137 6982 = 18 960 739 204.
As a consequence, 137 698 is the square root of 18 960 739 204.
The multiples of 137 698 are all integers evenly divisible by 137 698, that is all numbers such that the remainder of the division by 137 698 is zero. There are infinitely many multiples of 137 698. The smallest multiples of 137 698 are: