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159

159 is a natural number that follows 158 and precedes 160. It is odd and composite, with prime factorization 3 × 53. Consequently, its positive divisors are 1, 3, 53, and 159, making it a semiprime. The sum of its digits is 15, which explains its divisibility by 3.

In various numeral systems, 159 is represented as 10011111 in binary, 0x9F in hexadecimal, and 237 in

159 AD was a year in the 2nd century of the Roman Empire, during the reign of

As a semiprime, 159 is of interest in basic number theory as an example of a composite

octal.
In
Roman
numerals,
it
is
written
as
CLIX.
It
is
not
a
perfect
square
or
cube.
The
Euler
totient
φ(159)
=
104,
meaning
there
are
104
positive
integers
less
than
159
that
are
coprime
to
159.
Emperor
Antoninus
Pius
(r.
138–161).
This
period
falls
within
the
broader
era
often
referred
to
as
the
Pax
Romana,
a
time
of
relative
stability
and
expansion
across
the
Roman
provinces.
number
formed
by
the
product
of
two
distinct
primes.
Its
simple
factorization
and
multiple
base
representations
make
it
a
common
illustrative
value
in
arithmetic
and
introductory
mathematics
discussions.