148 (number)

Short description: Natural number

| <- 147  | 148 |  149 ->

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← 140 141 142 143 144 145 146 147 148 149 →

List of numbers — Integers

← 0 100 200 300 400 500 600 700 800 900 →

Cardinal| one hundred forty-eight
Ordinal| 148th
(one hundred forty-eighth)
Factorization| 22 × 37
Divisors| 1, 2, 4, 37, 74, 148
Greek numeral| ΡΜΗ´
Roman numeral| CXLVIII
Binary| 100101002
Ternary| 121113
Quaternary| 21104
Quinary| 10435
Senary| 4046
Octal| 2248
Duodecimal| 10412
Hexadecimal| 9416
Vigesimal| 7820
Base 36| 4436

148 (one hundred [and] forty-eight) is the natural number following 147 and before 149.

## Contents

* 1 In mathematics
* 2 In other fields
* 3 See also
* 4 References

## In mathematics

148 is the second number to be both a heptagonal number and a centered heptagonal number (the first is 1).[1] It is the twelfth member of the Mian–Chowla sequence, the lexicographically smallest sequence of distinct positive integers with distinct pairwise sums.[2]

There are 148 perfect graphs with six vertices,[3] and 148 ways of partitioning four people into subsets, ordering the subsets, and selecting a leader for each subset.[4]

## In other fields

In the Book of Nehemiah 7:44 there are 148 singers, sons of Asaph, at the census of men of Israel upon return from exile. This differs from Ezra 2:41, where the number is given as 128.[5]

Dunbar's number is a theoretical cognitive limit to the number of people with whom one can maintain stable interpersonal relationships. Dunbar predicted a "mean group size" of 148,[6] but this is commonly rounded to 150.

## See also

* The year AD 148 or 148 BC
* List of highways numbered 148
* All pages with titles containing 148

## References

1. ↑ Sloane, N. J. A., ed. "Sequence A128919 (Numbers simultaneously heptagonal and centered heptagonal)". OEIS Foundation. https://oeis.org/A128919.
2. ↑ Sloane, N. J. A., ed. "Sequence A005282 (Mian-Chowla sequence)". OEIS Foundation. https://oeis.org/A005282.
3. ↑ Sloane, N. J. A., ed. "Sequence A052431 (Number of perfect simple undirected graphs on n nodes)". OEIS Foundation. https://oeis.org/A052431.
4. ↑ Sloane, N. J. A., ed. "Sequence A006153 (E.g.f.: 1/(1-x*exp(x)))". OEIS Foundation. https://oeis.org/A006153.
5. ↑ Klein, Ralph Walter (January 1969). "Old Readings in 1 Esdras: The List of Returnees From Babylon (Ezra 2 // Nehemiah 7)". Harvard Theological Review 62 (1): 99–107. doi:10.1017/s0017816000027644.
6. ↑ Dunbar, R. I. M. (1997). "Groups, Gossip, and the Evolution of Language". in Schmitt, Alain; Atzwanger, Klaus; Grammer, Karl et al.. New Aspects of Human Ethology. Kluwer Academic Publishers. pp. 77–89. doi:10.1007/978-0-585-34289-4_5.

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