144889920 has 168 divisors, whose sum is σ = 569634624. Its totient is φ = 33113088.

The previous prime is 144889897. The next prime is 144889937. The reversal of 144889920 is 29988441.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 16567 + ... + 23753.

Almost surely, 2^144889920 is an apocalyptic number.

144889920 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 144889920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284817312).

144889920 is an abundant number, since it is smaller than the sum of its proper divisors (424744704).

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

144889920 is a wasteful number, since it uses less digits than its factorization.

144889920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7217 (or 7204 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The square root of 144889920 is about 12037.0228877410. The cubic root of 144889920 is about 525.2258076259.

The spelling of 144889920 in words is "one hundred forty-four million, eight hundred eighty-nine thousand, nine hundred twenty".