144363648 has 192 divisors, whose sum is σ = 455817600. Its totient is φ = 40212480.

The previous prime is 144363631. The next prime is 144363689. The reversal of 144363648 is 846363441.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (39).

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

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 603913 + ... + 604151.

It is an arithmetic number, because the mean of its divisors is an integer number (2374050).

Almost surely, 2^144363648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144363648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227908800).

144363648 is an abundant number, since it is smaller than the sum of its proper divisors (311453952).

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

144363648 is a wasteful number, since it uses less digits than its factorization.

144363648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 291 (or 268 counting only the distinct ones).

The product of its digits is 165888, while the sum is 39.

The square root of 144363648 is about 12015.1424460969. The cubic root of 144363648 is about 524.5891243292.

The spelling of 144363648 in words is "one hundred forty-four million, three hundred sixty-three thousand, six hundred forty-eight".