144391680 has 160 divisors (see below), whose sum is σ = 513136800. Its totient is φ = 38486016.

The previous prime is 144391669. The next prime is 144391691. The reversal of 144391680 is 86193441.

It is an interprime number because it is at equal distance from previous prime (144391669) and next prime (144391691).

It is a tau number, because it is divible by the number of its divisors (160).

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 15 ways as a sum of consecutive naturals, for example, 68076 + ... + 70164.

It is an arithmetic number, because the mean of its divisors is an integer number (3207105).

Almost surely, 2^144391680 is an apocalyptic number.

144391680 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 144391680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (256568400).

144391680 is an abundant number, since it is smaller than the sum of its proper divisors (368745120).

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

144391680 is an equidigital number, since it uses as much as digits as its factorization.

144391680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2121 (or 2099 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The square root of 144391680 is about 12016.3089174671. The cubic root of 144391680 is about 524.6230763913.

The spelling of 144391680 in words is "one hundred forty-four million, three hundred ninety-one thousand, six hundred eighty".