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144145134 = 23271923169
BaseRepresentation
bin10001001011101…
…11101011101110
3101001020022221200
420211313223232
5243400121014
622145310330
73400133130
oct1045675356
9331208850
10144145134
1174403411
12403353a6
1323b2bca3
1415203050
15c9c4a09
hex8977aee

144145134 has 72 divisors (see below), whose sum is σ = 376824240. Its totient is φ = 39004416.

The previous prime is 144145129. The next prime is 144145139. The reversal of 144145134 is 431541441.

144145134 is a `hidden beast` number, since 144 + 1 + 4 + 513 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (144145129) and next prime (144145139).

It is a junction number, because it is equal to n+sod(n) for n = 144145098 and 144145107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144145139) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 43902 + ... + 47070.

It is an arithmetic number, because the mean of its divisors is an integer number (5233670).

Almost surely, 2144145134 is an apocalyptic number.

144145134 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 144145134, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188412120).

144145134 is an abundant number, since it is smaller than the sum of its proper divisors (232679106).

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

144145134 is a wasteful number, since it uses less digits than its factorization.

144145134 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3222 (or 3200 counting only the distinct ones).

The product of its digits is 3840, while the sum is 27.

The square root of 144145134 is about 12006.0457270494. The cubic root of 144145134 is about 524.3243116975.

Adding to 144145134 its reverse (431541441), we get a palindrome (575686575).

The spelling of 144145134 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred thirty-four".

Divisors: 1 2 3 6 7 9 14 18 19 21 38 42 57 63 114 126 133 171 266 342 361 399 722 798 1083 1197 2166 2394 2527 3169 3249 5054 6338 6498 7581 9507 15162 19014 22183 22743 28521 44366 45486 57042 60211 66549 120422 133098 180633 199647 361266 399294 421477 541899 842954 1083798 1144009 1264431 2288018 2528862 3432027 3793293 6864054 7586586 8008063 10296081 16016126 20592162 24024189 48048378 72072567 144145134