144967248 has 120 divisors (see below), whose sum is σ = 418991040. Its totient is φ = 46771200.

The previous prime is 144967237. The next prime is 144967261. The reversal of 144967248 is 842769441.

It is a congruent number.

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, 959973 + ... + 960123.

It is an arithmetic number, because the mean of its divisors is an integer number (3491592).

Almost surely, 2^144967248 is an apocalyptic number.

144967248 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 144967248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209495520).

144967248 is an abundant number, since it is smaller than the sum of its proper divisors (274023792).

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

144967248 is a wasteful number, since it uses less digits than its factorization.

144967248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 337 (or 328 counting only the distinct ones).

The product of its digits is 387072, while the sum is 45.

The square root of 144967248 is about 12040.2345492104. The cubic root of 144967248 is about 525.3192289811.

The spelling of 144967248 in words is "one hundred forty-four million, nine hundred sixty-seven thousand, two hundred forty-eight".