Gary Peters is running for president of the student council. His campaign manager takes a simple random sample of 150 students and finds that 87 of them intend to vote for Gary. If Gary's campaign manager wants to construct a 90% confidence interval with a margin of error of 0.05 or less, how many students should they sample? Give your answer as a whole integer.

Hint: Do not forget to round up whenever you submit your answer for sample size.