144124424505 has 96 divisors (see below), whose sum is σ = 257210063136. Its totient is φ = 74633674752.

The previous prime is 144124424501. The next prime is 144124424531. The reversal of 144124424505 is 505424421441.

144124424505 is a `hidden beast` number, since 1 + 4 + 4 + 124 + 4 + 24 + 505 = 666.

It can be written as a sum of positive squares in 16 ways, for example, as 64708675641 + 79415748864 = 254379^2 + 281808^2 .

It is not a de Polignac number, because 144124424505 - 2² = 144124424501 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 144124424505.

It is not an unprimeable number, because it can be changed into a prime (144124424501) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 58277949 + ... + 58280421.

It is an arithmetic number, because the mean of its divisors is an integer number (2679271491).

Almost surely, 2^144124424505 is an apocalyptic number.

144124424505 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144124424505 is a deficient number, since it is larger than the sum of its proper divisors (113085638631).

144124424505 is a wasteful number, since it uses less digits than its factorization.

144124424505 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2827 (or 2824 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 36.

Adding to 144124424505 its reverse (505424421441), we get a palindrome (649548845946).

The spelling of 144124424505 in words is "one hundred forty-four billion, one hundred twenty-four million, four hundred twenty-four thousand, five hundred five".