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144025128 = 23351341139
BaseRepresentation
bin10001001010110…
…10011000101000
3101001000020100000
420211122120220
5243332301003
622142543000
73366123222
oct1045323050
9331006300
10144025128
1174331235
1240297a60
1323ab9490
14151b1412
15c99e1a3
hex895a628

144025128 has 192 divisors, whose sum is σ = 449467200. Its totient is φ = 42923520.

The previous prime is 144025093. The next prime is 144025129. The reversal of 144025128 is 821520441.

144025128 is a `hidden beast` number, since 144 + 0 + 2 + 512 + 8 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (144025129) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1036083 + ... + 1036221.

It is an arithmetic number, because the mean of its divisors is an integer number (2340975).

Almost surely, 2144025128 is an apocalyptic number.

144025128 is a gapful number since it is divisible by the number (18) 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 144025128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224733600).

144025128 is an abundant number, since it is smaller than the sum of its proper divisors (305442072).

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

144025128 is a wasteful number, since it uses less digits than its factorization.

144025128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 214 (or 198 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 144025128 is about 12001.0469543286. The cubic root of 144025128 is about 524.1787650268.

Adding to 144025128 its reverse (821520441), we get a palindrome (965545569).

The spelling of 144025128 in words is "one hundred forty-four million, twenty-five thousand, one hundred twenty-eight".