144846144 has 70 divisors (see below), whose sum is σ = 429384714. Its totient is φ = 48280320.

The previous prime is 144846133. The next prime is 144846173. The reversal of 144846144 is 441648441.

It can be written as a sum of positive squares in only one way, i.e., 122943744 + 21902400 = 11088^2 + 4680^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 144846099 and 144846108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 8787 + ... + 19154.

Almost surely, 2^144846144 is an apocalyptic number.

It is an amenable number.

144846144 is an abundant number, since it is smaller than the sum of its proper divisors (284538570).

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

144846144 is an equidigital number, since it uses as much as digits as its factorization.

144846144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 27965 (or 27946 counting only the distinct ones).

The product of its digits is 49152, while the sum is 36.

The square root of 144846144 is about 12035.2043605416. The cubic root of 144846144 is about 525.1729063132.

The spelling of 144846144 in words is "one hundred forty-four million, eight hundred forty-six thousand, one hundred forty-four".