In counties having two (2) levying courts or in counties having a population of not less than thirteen thousand two hundred fifty (13,250) and not more than fourteen thousand (14,000) according to the most recent federal census where territory contiguous to the county seat needs fire, police, water, and sanitary services of that town to protect the public health, safety, and convenience of inhabitants of both the town and its contiguous territory, the council of any such incorporated town or city of the second class shall have the power to annex the territory contiguous thereto by ordinance, passed and published in the manner provided by law for the passage and publication of ordinances.