168 (number)

Template:Infobox number 168 (one hundred [and] sixty-eight) is the natural number following 167 and preceding 169.

Mathematics

168 is a Dedekind number, and an idoneal numbers, and a Cunningham number.

Abstract algebra

168 is the order of the second smallest nonabelian simple group $\mathrm{P}\mathrm{S}\mathrm{L}(2,7).$ From Hurwitz's automorphisms theorem, 168 is the maximum possible number of automorphisms of a genus 3 Riemann surface, this maximum being achieved by the Klein quartic, whose symmetry group is $\mathrm{P}\mathrm{S}\mathrm{L}(2,7)$.

In other fields

Numerology

Some Chinese consider 168 a lucky number, because 一六八 ("168") Mandarin Template:Zh is roughly homophonous with the phrase "一路發" Mandarin Template:Zh which means "fortune all the way", or, as the United States Mint claims, "Prosperity Forever".

External links

• Number Facts and Trivia: 168
• The Number 168
• The Positive Integer 168
• Prime curiosities: 168