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144138000 = 2435324023
BaseRepresentation
bin10001001011101…
…01111100010000
3101001012222011110
420211311330100
5243344404000
622145213320
73400103256
oct1045657420
9331188143
10144138000
11743a9016
1240331240
1323b28976
14152005d6
15c9c2850
hex8975f10

144138000 has 80 divisors (see below), whose sum is σ = 464720256. Its totient is φ = 38435200.

The previous prime is 144137999. The next prime is 144138031. The reversal of 144138000 is 831441.

It is a tau number, because it is divible by the number of its divisors (80).

It is a hoax number, since the sum of its digits (21) coincides with the sum of the digits of its distinct prime factors.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6012 + ... + 18011.

Almost surely, 2144138000 is an apocalyptic number.

144138000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144138000 is an abundant number, since it is smaller than the sum of its proper divisors (320582256).

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

144138000 is a wasteful number, since it uses less digits than its factorization.

144138000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24049 (or 24033 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 21.

The square root of 144138000 is about 12005.7486230555. The cubic root of 144138000 is about 524.3156616394.

Adding to 144138000 its reverse (831441), we get a palindrome (144969441).

The spelling of 144138000 in words is "one hundred forty-four million, one hundred thirty-eight thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 40 48 50 60 75 80 100 120 125 150 200 240 250 300 375 400 500 600 750 1000 1200 1500 2000 3000 6000 24023 48046 72069 96092 120115 144138 192184 240230 288276 360345 384368 480460 576552 600575 720690 960920 1153104 1201150 1441380 1801725 1921840 2402300 2882760 3002875 3603450 4804600 5765520 6005750 7206900 9008625 9609200 12011500 14413800 18017250 24023000 28827600 36034500 48046000 72069000 144138000