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159144 = 23319349
BaseRepresentation
bin100110110110101000
322002022020
4212312220
520043034
63224440
71231656
oct466650
9262266
10159144
11a9627
1278120
135758b
1441dd6
1532249
hex26da8

159144 has 32 divisors (see below), whose sum is σ = 420000. Its totient is φ = 50112.

The previous prime is 159119. The next prime is 159157. The reversal of 159144 is 441951.

159144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is an unprimeable number.

159144 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 282 + ... + 630.

It is an arithmetic number, because the mean of its divisors is an integer number (13125).

2159144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 159144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210000).

159144 is an abundant number, since it is smaller than the sum of its proper divisors (260856).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

159144 is a wasteful number, since it uses less digits than its factorization.

159144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 373 counting only the distinct ones).

The product of its digits is 720, while the sum is 24.

The square root of 159144 is about 398.9285650339. The cubic root of 159144 is about 54.1913649365.

It can be divided in two parts, 159 and 144, that added together give a palindrome (303).

The spelling of 159144 in words is "one hundred fifty-nine thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 8 12 19 24 38 57 76 114 152 228 349 456 698 1047 1396 2094 2792 4188 6631 8376 13262 19893 26524 39786 53048 79572 159144