It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 121 is not a prime number.
For example, 137 121 can be divided by 3: 137 121 / 3 = 45 707.
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For 137 121 to be a prime number, it would have been required that 137 121 has only two divisors, i.e., itself and 1.
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137 121 is an odd number, because it is not evenly divisible by 2.
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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 137 121 is about 370.299.
Thus, the square root of 137 121 is not an integer, and therefore 137 121 is not a square number.
The square of a number (here 137 121) is the result of the product of this number (137 121) by itself (i.e., 137 121 × 137 121); the square of 137 121 is sometimes called "raising 137 121 to the power 2", or "137 121 squared".
The square of 137 121 is 18 802 168 641 because 137 121 × 137 121 = 137 1212 = 18 802 168 641.
As a consequence, 137 121 is the square root of 18 802 168 641.
The multiples of 137 121 are all integers evenly divisible by 137 121, that is all numbers such that the remainder of the division by 137 121 is zero. There are infinitely many multiples of 137 121. The smallest multiples of 137 121 are: