146 (number)

146 1, 2, 73, 146 thumb|146 magnetic balls, arranged to show that 146 is an octahedral number 146 (one hundred [and] forty-six) is the natural number following 145 and preceding 147. In mathematics 146 is an octahedral number, the number of spheres that can be packed into in a regular octahedron with six spheres along each edge.A005900 Octahedral numbers For an octahedron with seven spheres along each edge, the number of spheres on the surface of the octahedron is again 146.A005899 Number of points on surface of octahedron It is also possible to arrange 146 disks in the plane into an irregular octagon with six disks on each side, making 146 an octo number.A079273 Octo numbers There is no integer with exactly 146 coprimes less than it, so 146 is a nontotient. It is also never the difference between an integer and the total of coprimes below it, so it is a noncototient.A058763 Integers which are neither totient nor cototient And it is not the sum of proper divisors of any number, making it an untouchable number.A005114 Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function There are 146 connected partially ordered sets with four labeled elements.A001927 Number of connected partially ordered sets with n labeled points 146 is also a repdigit in base 8 (222). In other fields 146 is also: 146th Airlift Wing is a unit of the California Air National Guard 146 (Antrim Artillery) 146 Lucina, a main-belt asteroid See also 146 (disambiguation) References 1 Category:Integers