This lecture on various types of numbers covers topics such as natural, whole, integers, rational, prime, composite, even, odd, square, and cube numbers, as well as Perfect, Palindromic, and Narcissistic Numbers. It also explores comparing numbers, multiples, the Lowest Common Multiple (LCM), factors, highest common factors (HCF) and greatest common factors (GCF), prime and composite numbers, twin prime and super prime numbers, prime factors, HCF/LCM of prime factors, divisibility, squares and cubes, square and cube roots, directed numbers, the BIDMAS rule and order of operations, and rounding figures and decimals. Concepts are explained through examples and questions, and there are applications of these topics to the real world.