144920384 has 56 divisors (see below), whose sum is σ = 334109568. Its totient is φ = 61079040.

The previous prime is 144920383. The next prime is 144920387. The reversal of 144920384 is 483029441.

It is a tau number, because it is divible by the number of its divisors (56).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144920383) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 24677 + ... + 29979.

Almost surely, 2^144920384 is an apocalyptic number.

144920384 is a gapful number since it is divisible by the number (14) 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 144920384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167054784).

144920384 is an abundant number, since it is smaller than the sum of its proper divisors (189189184).

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

144920384 is an equidigital number, since it uses as much as digits as its factorization.

144920384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5383 (or 5373 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 35.

The square root of 144920384 is about 12038.2882504117. The cubic root of 144920384 is about 525.2626157023.

The spelling of 144920384 in words is "one hundred forty-four million, nine hundred twenty thousand, three hundred eighty-four".