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144143136 = 25321759499
BaseRepresentation
bin10001001011101…
…11001100100000
3101001020020012200
420211313030200
5243400040021
622145253200
73400124244
oct1045671440
9331206180
10144143136
1174401965
1240334200
1323b2b0c7
1415202424
15c9c4126
hex8977320

144143136 has 144 divisors (see below), whose sum is σ = 442260000. Its totient is φ = 44365824.

The previous prime is 144143071. The next prime is 144143141. The reversal of 144143136 is 631341441.

It is a tau number, because it is divible by the number of its divisors (144).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 288615 + ... + 289113.

It is an arithmetic number, because the mean of its divisors is an integer number (3071250).

Almost surely, 2144143136 is an apocalyptic number.

144143136 is a gapful number since it is divisible by the number (16) 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 144143136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221130000).

144143136 is an abundant number, since it is smaller than the sum of its proper divisors (298116864).

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

144143136 is a wasteful number, since it uses less digits than its factorization.

144143136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 591 (or 580 counting only the distinct ones).

The product of its digits is 3456, while the sum is 27.

The square root of 144143136 is about 12005.9625186821. The cubic root of 144143136 is about 524.3218891280.

Adding to 144143136 its reverse (631341441), we get a palindrome (775484577).

The spelling of 144143136 in words is "one hundred forty-four million, one hundred forty-three thousand, one hundred thirty-six".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 32 34 36 48 51 59 68 72 96 102 118 136 144 153 177 204 236 272 288 306 354 408 472 499 531 544 612 708 816 944 998 1003 1062 1224 1416 1497 1632 1888 1996 2006 2124 2448 2832 2994 3009 3992 4012 4248 4491 4896 5664 5988 6018 7984 8024 8483 8496 8982 9027 11976 12036 15968 16048 16966 16992 17964 18054 23952 24072 25449 29441 32096 33932 35928 36108 47904 48144 50898 58882 67864 71856 72216 76347 88323 96288 101796 117764 135728 143712 144432 152694 176646 203592 235528 264969 271456 288864 305388 353292 407184 471056 500497 529938 610776 706584 814368 942112 1000994 1059876 1221552 1413168 1501491 2001988 2119752 2443104 2826336 3002982 4003976 4239504 4504473 6005964 8007952 8479008 9008946 12011928 16015904 18017892 24023856 36035784 48047712 72071568 144143136