144385920 has 192 divisors, whose sum is σ = 569967840. Its totient is φ = 32993280.

The previous prime is 144385903. The next prime is 144385933. The reversal of 144385920 is 29583441.

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

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 38530 + ... + 42110.

Almost surely, 2^144385920 is an apocalyptic number.

144385920 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 144385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284983920).

144385920 is an abundant number, since it is smaller than the sum of its proper divisors (425581920).

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

144385920 is a wasteful number, since it uses less digits than its factorization.

144385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3613 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 34560, while the sum is 36.

The square root of 144385920 is about 12016.0692408125. The cubic root of 144385920 is about 524.6161002989.

The spelling of 144385920 in words is "one hundred forty-four million, three hundred eighty-five thousand, nine hundred twenty".