Arindom put $126$ sticks in a table and they are parallel to each other. Anindita put $n$ sticks on those sticks. Anindita's sticks are parallel to each other but not parallel with Arindom's sticks. Those sticks created $19569375$ parallelograms. What is the number of Anindita's sticks? [Suppose, all sticks have equal length]

Number Theory

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