# 146 (number)

__: Natural number__

**Short description**
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Cardinal | one hundred forty-six | |||

Ordinal | 146th (one hundred forty-sixth) | |||

Factorization | 2 × 73 | |||

Divisors | 1, 2, 73, 146 | |||

Greek numeral | ΡΜϚ´ | |||

Roman numeral | CXLVI | |||

Binary | 10010010_{2} | |||

Ternary | 12102_{3} | |||

Quaternary | 2102_{4} | |||

Quinary | 1041_{5} | |||

Senary | 402_{6} | |||

Octal | 222_{8} | |||

Duodecimal | 102_{12} | |||

Hexadecimal | 92_{16} | |||

Vigesimal | 76_{20} | |||

Base 36 | 42_{36} |

**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.^{[1]} For an octahedron with seven spheres along each edge, the number of spheres on the surface of the octahedron is again 146.^{[2]} 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.^{[3]}

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.^{[4]} And it is not the sum of proper divisors of any number, making it an untouchable number.^{[5]}

There are 146 connected partially ordered sets with four labeled elements.^{[6]}

## See also

- 146 (disambiguation)

## References

- ↑ Sloane, N. J. A., ed. "Sequence A005900 (Octahedral numbers)". OEIS Foundation. https://oeis.org/A005900.
- ↑ Sloane, N. J. A., ed. "Sequence A005899 (Number of points on surface of octahedron)". OEIS Foundation. https://oeis.org/A005899.
- ↑ Sloane, N. J. A., ed. "Sequence A079273 (Octo numbers)". OEIS Foundation. https://oeis.org/A079273.
- ↑ Sloane, N. J. A., ed. "Sequence A058763 (Integers which are neither totient nor cototient)". OEIS Foundation. https://oeis.org/A058763.
- ↑ Sloane, N. J. A., ed. "Sequence A005114 (Untouchable numbers, also called nonaliquot numbers: impossible values for the sum of aliquot parts function)". OEIS Foundation. https://oeis.org/A005114.
- ↑ Sloane, N. J. A., ed. "Sequence A001927 (Number of connected partially ordered sets with n labeled points)". OEIS Foundation. https://oeis.org/A001927.

Original source: https://en.wikipedia.org/wiki/146 (number).
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