It is possible to find out using mathematical methods whether a given integer is a prime number or not.
No, 150 136 013 is not a prime number.
For example, 150 136 013 can be divided by 7 669: 150 136 013 / 7669 = 19 577.
For 150 136 013 to be a prime number, it would have been required that 150 136 013 has only two divisors, i.e., itself and 1.
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150 136 013 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 150 136 013 is about 12 253.000.
Thus, the square root of 150 136 013 is not an integer, and therefore 150 136 013 is not a square number.
The square of a number (here 150 136 013) is the result of the product of this number (150 136 013) by itself (i.e., 150 136 013 × 150 136 013); the square of 150 136 013 is sometimes called "raising 150 136 013 to the power 2", or "150 136 013 squared".
The square of 150 136 013 is 22 540 822 399 536 168 because 150 136 013 × 150 136 013 = 150 136 0132 = 22 540 822 399 536 168.
As a consequence, 150 136 013 is the square root of 22 540 822 399 536 168.
150 136 013 is a number with 9 digits.
The multiples of 150 136 013 are all integers evenly divisible by 150 136 013, that is all numbers such that the remainder of the division by 150 136 013 is zero. There are infinitely many multiples of 150 136 013. The smallest multiples of 150 136 013 are: