It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 137 801 is not a prime number.
For example, 137 801 can be divided by 41: 137 801 / 41 = 3 361.
For 137 801 to be a prime number, it would have been required that 137 801 has only two divisors, i.e., itself and 1.
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137 801 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 137 801 is about 371.216.
Thus, the square root of 137 801 is not an integer, and therefore 137 801 is not a square number.
The square of a number (here 137 801) is the result of the product of this number (137 801) by itself (i.e., 137 801 × 137 801); the square of 137 801 is sometimes called "raising 137 801 to the power 2", or "137 801 squared".
The square of 137 801 is 18 989 115 601 because 137 801 × 137 801 = 137 8012 = 18 989 115 601.
As a consequence, 137 801 is the square root of 18 989 115 601.
The multiples of 137 801 are all integers evenly divisible by 137 801, that is all numbers such that the remainder of the division by 137 801 is zero. There are infinitely many multiples of 137 801. The smallest multiples of 137 801 are: