Steven just inherited $$75,000$ from his Grandmother's estate. He is single and looking to save up a total of $$125,000$ to pay cash for a home purchase rather than borrowing money. He feels that he can easily save $$750$ per month right now in addition to the lump sum that he inherited. If he can earn $1\mathrm{.}35\%$ annually in his current money market account, how long $($in months$)$ will it take him to reach the $$125,000$ to pay cash for his first home.

$($Be sure to show calculator inputs$)$