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144145125 = 3253177537
BaseRepresentation
bin10001001011101…
…11101011100101
3101001020022221100
420211313223211
5243400121000
622145310313
73400133115
oct1045675345
9331208840
10144145125
1174403403
1240335399
1323b2bc97
1415203045
15c9c4a00
hex8977ae5

144145125 has 48 divisors (see below), whose sum is σ = 275167152. Its totient is φ = 72345600.

The previous prime is 144145087. The next prime is 144145129. The reversal of 144145125 is 521541441.

144145125 is a `hidden beast` number, since 144 + 1 + 4 + 512 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 32251041 + 111894084 = 5679^2 + 10578^2 .

It is not a de Polignac number, because 144145125 - 26 = 144145061 is a prime.

It is a super-2 number, since 2×1441451252 = 41555634122531250, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144145129) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15357 + ... + 22893.

It is an arithmetic number, because the mean of its divisors is an integer number (5732649).

Almost surely, 2144145125 is an apocalyptic number.

144145125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144145125 is a deficient number, since it is larger than the sum of its proper divisors (131022027).

144145125 is a wasteful number, since it uses less digits than its factorization.

144145125 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7575 (or 7562 counting only the distinct ones).

The product of its digits is 3200, while the sum is 27.

The square root of 144145125 is about 12006.0453522382. The cubic root of 144145125 is about 524.3243007851.

Adding to 144145125 its reverse (521541441), we get a palindrome (665686566).

The spelling of 144145125 in words is "one hundred forty-four million, one hundred forty-five thousand, one hundred twenty-five".

Divisors: 1 3 5 9 15 17 25 45 51 75 85 125 153 225 255 375 425 765 1125 1275 2125 3825 6375 7537 19125 22611 37685 67833 113055 128129 188425 339165 384387 565275 640645 942125 1153161 1695825 1921935 2826375 3203225 5765805 8479125 9609675 16016125 28829025 48048375 144145125