186 (number)

There is no integer with exactly 186 coprimes less than it, so 186 is a nontotient. It is also never the difference between an integer and the total of coprimes below it, so it is a noncototient.{{cite OEIS|A058763|Integers which are neither totient nor cototient}}

There are 186 different pentahexes, shapes formed by gluing together five regular hexagons, when rotations of shapes are counted as distinct from each other.{{cite OEIS|A001207|Number of fixed hexagonal polyominoes with n cells}}{{cite book

| last = Lunnon | first = W. F.

| editor-last = Read | editor-first = Ronald C.

| contribution = Counting hexagonal and triangular polyominoes

| doi = 10.1016/B978-1-4832-3187-7.50013-1

| mr = 0337670

| pages = 87–100

| publisher = Academic Press

| title = Graph Theory and Computing

| year = 1972| isbn = 978-1-4832-3187-7

}}

186 is a Fine number.{{cite OEIS|A000957|Fine's sequence (or Fine numbers): number of relations of valence >= 1 on an n-set; also number of ordered rooted trees with n edges having root of even degree|access-date=2022-06-01}}

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