138144

138144 is a large, composite number. Its prime factorization is 2^4 * 3 * 2878. It is an even number. The divisors of 138144 are 1, 2, 3, 4, 6, 8, 12, 16, 24, 32, 48, 64, 96, 128, 192, 256, 384, 512, 768, 1024, 1536, 2048, 3072, 4096, 6144, 8192, 12288, 16384, 24576, 27648, 32768, 46080, 55296, 69072, 92160, 110592, and 138144. As a result of its many divisors, it is a highly composite number. The sum of its digits is 1 + 3 + 8 + 1 + 4 + 4 = 21.

In mathematics, a number's properties are determined by its relationships with other numbers, such as divisibility, primality, and its position within number sequences. 138144 exhibits characteristics common to composite numbers, meaning it can be formed by multiplying smaller integers. Its specific prime factors, 2 and 3, indicate its divisibility by powers of these primes. The presence of a large number of divisors is a notable feature, placing it in a category of numbers that are "rich" in factors.

The number 138144 itself does not hold a widely recognized significance in specific scientific fields or historical events. Its existence is primarily within the realm of number theory, where its properties are studied and cataloged as part of the broader exploration of integers and their mathematical relationships. Numbers like 138144 are foundational elements in various mathematical disciplines, from basic arithmetic to more advanced areas of abstract algebra.