144768825 has 36 divisors (see below), whose sum is σ = 260055900. Its totient is φ = 76984320.

The previous prime is 144768823. The next prime is 144768839. The reversal of 144768825 is 528867441.

It can be written as a sum of positive squares in 6 ways, for example, as 1272384 + 143496441 = 1128^2 + 11979^2 .

It is not a de Polignac number, because 144768825 - 2¹ = 144768823 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a nialpdrome in base 15.

It is not an unprimeable number, because it can be changed into a prime (144768823) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 100309 + ... + 101741.

It is an arithmetic number, because the mean of its divisors is an integer number (7223775).

Almost surely, 2^144768825 is an apocalyptic number.

144768825 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

144768825 is a deficient number, since it is larger than the sum of its proper divisors (115287075).

144768825 is a wasteful number, since it uses less digits than its factorization.

144768825 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1898 (or 1890 counting only the distinct ones).

The product of its digits is 430080, while the sum is 45.

The square root of 144768825 is about 12031.9917303828. The cubic root of 144768825 is about 525.0794437602.

The spelling of 144768825 in words is "one hundred forty-four million, seven hundred sixty-eight thousand, eight hundred twenty-five".