144643968 has 160 divisors (see below), whose sum is σ = 492198960. Its totient is φ = 41306112.

The previous prime is 144643949. The next prime is 144643997. The reversal of 144643968 is 869346441.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 71580 + ... + 73572.

Almost surely, 2^144643968 is an apocalyptic number.

144643968 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 144643968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246099480).

144643968 is an abundant number, since it is smaller than the sum of its proper divisors (347554992).

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

144643968 is an equidigital number, since it uses as much as digits as its factorization.

144643968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2026 (or 2005 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

The square root of 144643968 is about 12026.8020687130. The cubic root of 144643968 is about 524.9284473913.

The spelling of 144643968 in words is "one hundred forty-four million, six hundred forty-three thousand, nine hundred sixty-eight".