It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 138 701 is not a prime number.
For example, 138 701 can be divided by 53: 138 701 / 53 = 2 617.
For 138 701 to be a prime number, it would have been required that 138 701 has only two divisors, i.e., itself and 1.
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138 701 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 138 701 is about 372.426.
Thus, the square root of 138 701 is not an integer, and therefore 138 701 is not a square number.
The square of a number (here 138 701) is the result of the product of this number (138 701) by itself (i.e., 138 701 × 138 701); the square of 138 701 is sometimes called "raising 138 701 to the power 2", or "138 701 squared".
The square of 138 701 is 19 237 967 401 because 138 701 × 138 701 = 138 7012 = 19 237 967 401.
As a consequence, 138 701 is the square root of 19 237 967 401.
The multiples of 138 701 are all integers evenly divisible by 138 701, that is all numbers such that the remainder of the division by 138 701 is zero. There are infinitely many multiples of 138 701. The smallest multiples of 138 701 are: