144855648 has 192 divisors, whose sum is σ = 494968320. Its totient is φ = 40352256.

The previous prime is 144855647. The next prime is 144855661. The reversal of 144855648 is 846558441.

It is a happy number.

144855648 is a `hidden beast` number, since 1 + 4 + 4 + 85 + 564 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144855647) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 259786 + ... + 260342.

It is an arithmetic number, because the mean of its divisors is an integer number (2577960).

Almost surely, 2^144855648 is an apocalyptic number.

144855648 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 144855648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247484160).

144855648 is an abundant number, since it is smaller than the sum of its proper divisors (350112672).

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

144855648 is a wasteful number, since it uses less digits than its factorization.

144855648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 626 (or 612 counting only the distinct ones).

The product of its digits is 614400, while the sum is 45.

The square root of 144855648 is about 12035.5991957193. The cubic root of 144855648 is about 525.1843923723.

The spelling of 144855648 in words is "one hundred forty-four million, eight hundred fifty-five thousand, six hundred forty-eight".