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144000253 is a prime number
BaseRepresentation
bin10001001010101…
…00010011111101
3101000221222012201
420211110103331
5243331002003
622142231501
73365660545
oct1045242375
9330858181
10144000253
1174314581
1240285591
1323aab067
14151a6325
15c996b1d
hex89544fd

144000253 has 2 divisors, whose sum is σ = 144000254. Its totient is φ = 144000252.

The previous prime is 144000223. The next prime is 144000277. The reversal of 144000253 is 352000441.

144000253 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 138815524 + 5184729 = 11782^2 + 2277^2 .

It is a cyclic number.

It is not a de Polignac number, because 144000253 - 213 = 143992061 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144000253.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (144000203) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 72000126 + 72000127.

It is an arithmetic number, because the mean of its divisors is an integer number (72000127).

Almost surely, 2144000253 is an apocalyptic number.

It is an amenable number.

144000253 is a deficient number, since it is larger than the sum of its proper divisors (1).

144000253 is an equidigital number, since it uses as much as digits as its factorization.

144000253 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 480, while the sum is 19.

The square root of 144000253 is about 12000.0105416620. The cubic root of 144000253 is about 524.1485858081.

Adding to 144000253 its reverse (352000441), we get a palindrome (496000694).

The spelling of 144000253 in words is "one hundred forty-four million, two hundred fifty-three", and thus it is an aban number.