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144000 = 273253
BaseRepresentation
bin100011001010000000
321022112100
4203022000
514102000
63030400
71136553
oct431200
9238470
10144000
119920a
126b400
135070c
143a69a
152ca00
hex23280

144000 has 96 divisors (see below), whose sum is σ = 517140. Its totient is φ = 38400.

The previous prime is 143999. The next prime is 144013. The reversal of 144000 is 441.

Adding to 144000 its reverse (441), we get a palindrome (144441).

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 97344 + 46656 = 312^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a super Niven number, because it is divisible the sum of any subset of its (nonzero) digits.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 28798 + ... + 28802.

2144000 is an apocalyptic number.

144000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258570).

144000 is an abundant number, since it is smaller than the sum of its proper divisors (373140).

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

144000 is an equidigital number, since it uses as much as digits as its factorization.

144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 16, while the sum is 9.

The square root of 144000 is about 379.4733192202. The cubic root of 144000 is about 52.4148278842.

The spelling of 144000 in words is "one hundred forty-four thousand", and thus it is an iban number.

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 32 36 40 45 48 50 60 64 72 75 80 90 96 100 120 125 128 144 150 160 180 192 200 225 240 250 288 300 320 360 375 384 400 450 480 500 576 600 640 720 750 800 900 960 1000 1125 1152 1200 1440 1500 1600 1800 1920 2000 2250 2400 2880 3000 3200 3600 4000 4500 4800 5760 6000 7200 8000 9000 9600 12000 14400 16000 18000 24000 28800 36000 48000 72000 144000