144794320 has 80 divisors (see below), whose sum is σ = 377261568. Its totient is φ = 51217920.

The previous prime is 144794317. The next prime is 144794323. The reversal of 144794320 is 23497441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144794317) and next prime (144794323).

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144794323) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 30337 + ... + 34783.

Almost surely, 2^144794320 is an apocalyptic number.

144794320 is a gapful number since it is divisible by the number (10) 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 144794320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188630784).

144794320 is an abundant number, since it is smaller than the sum of its proper divisors (232467248).

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

144794320 is a wasteful number, since it uses less digits than its factorization.

144794320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4508 (or 4502 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 34.

The square root of 144794320 is about 12033.0511508927. The cubic root of 144794320 is about 525.1102655771.

The spelling of 144794320 in words is "one hundred forty-four million, seven hundred ninety-four thousand, three hundred twenty".