135300

135,300 is a natural number that follows 135,299 and precedes 135,301. It is even and composite, with a range of divisibility properties that make it a common example in elementary number theory. The digits sum to 12, indicating divisibility by 3, and its ending in zero shows divisibility by 2 and 5.

Its prime factorization is 2^2 × 3 × 5^2 × 11 × 41, implying 72 positive divisors. The sum of all divisors is 437,472, so the sum of proper divisors is 302,172. Because this sum exceeds the number itself, 135,300 is an abundant number.

The number is divisible by 11 as shown by the alternated sum test (1 − 3 + 5 − 3 + 0 − 0 = 0). In other bases: hexadecimal 0x21084, binary 100001000010000100, and octal 410204. In decimal, it equals 1.353 × 10^5 and is divisible by many small integers such as 2, 3, 4, 5, 6, 10, 12, and 15.

135,300 serves as a representative example of an abundant, composite number with a relatively rich factorization, used in instructional contexts to illustrate divisor counts and base representations.