1152

1152 is a natural number that follows 1151 and precedes 1153. It is an even, composite number with several notable mathematical properties.

Its prime factorization is 2^7 × 3^2. Consequently, 1152 has 24 positive divisors. The sum of its divisors (including itself) is 3315, which means the sum of its proper divisors is 2163; thus 1152 is an abundant number with an abundance of 1011. It is also a Harshad (Niven) number in base 10, since the sum of its digits (1 + 1 + 5 + 2 = 9) divides 1152 exactly (1152 ÷ 9 = 128). Representations include 12 × 96 and 24 × 48, among others.

In Roman numerals, 1152 is written as MCLII, reflecting the combination of 1000 (M), 100 (C), 50 (L), and 2 (II) with the customary ordering.

As a measurement reference, 1152 seconds equal 19 minutes and 12 seconds, and 1152 hours equal 48 days.

In historical chronology, the year 1152 AD falls within the mid-12th century, a period of the High Middle Ages in Europe. In the Julian calendar, 1152 was a leap year, having 366 days.