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144126 = 23317157
BaseRepresentation
bin100011001011111110
321022201000
4203023332
514103001
63031130
71140123
oct431376
9238630
10144126
1199314
126b4a6
13507a8
143a74a
152ca86
hex232fe

144126 has 32 divisors (see below), whose sum is σ = 341280. Its totient is φ = 44928.

The previous prime is 144103. The next prime is 144139. The reversal of 144126 is 621441.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 144099 and 144108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 840 + ... + 996.

It is an arithmetic number, because the mean of its divisors is an integer number (10665).

2144126 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144126, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170640).

144126 is an abundant number, since it is smaller than the sum of its proper divisors (197154).

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

144126 is a wasteful number, since it uses less digits than its factorization.

144126 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 185 (or 179 counting only the distinct ones).

The product of its digits is 192, while the sum is 18.

The square root of 144126 is about 379.6393024965. The cubic root of 144126 is about 52.4301110856.

Adding to 144126 its reverse (621441), we get a palindrome (765567).

The spelling of 144126 in words is "one hundred forty-four thousand, one hundred twenty-six".

Divisors: 1 2 3 6 9 17 18 27 34 51 54 102 153 157 306 314 459 471 918 942 1413 2669 2826 4239 5338 8007 8478 16014 24021 48042 72063 144126