Definitions

# 149 (number)

149 is the natural number between 148 and 150. It is also a prime number.
Ordinal One hundred [and]
forty-nine
Cardinal 149th
Factorization prime number
Roman numerals CXLIX
Binary 10010101

## In mathematics

149 is the 35th prime number, and with the next prime number, 151, is a twin prime, thus 149 is a Chen prime. 149 is a strong prime in the sense that it is more than the arithmetic mean of its two neighboring primes. 149 is an Eisenstein prime with no imaginary part and a real part of the form $3n - 1$.

Given 149, the Mertens function returns 0. 149 is a tribonacci number.

149 is a strictly non-palindromic number, meaning that it is not palindromic in any base from binary to base 147. However, in base 10, it is a full reptend prime, since the decimal expansion of 1/149 repeats 0067114093959731543624161073825503355704697986577181208053691275167785234899328859060402684563758389261744966442953020134228187919463087248322147651 infinitely.

## In other fields

One hundred [and] forty-nine is also:

• The year AD 149 or 149 BC.
• The number of the flagship Montblanc Meisterstück pen, Meisterstück 149.

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