144100320 has 192 divisors, whose sum is σ = 558835200. Its totient is φ = 30394368.

The previous prime is 144100309. The next prime is 144100337. The reversal of 144100320 is 23001441.

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 144100320.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 42031 + ... + 45329.

It is an arithmetic number, because the mean of its divisors is an integer number (2910600).

Almost surely, 2^144100320 is an apocalyptic number.

144100320 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 144100320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279417600).

144100320 is an abundant number, since it is smaller than the sum of its proper divisors (414734880).

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

144100320 is a wasteful number, since it uses less digits than its factorization.

144100320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3337 (or 3329 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 15.

The square root of 144100320 is about 12004.1792722368. The cubic root of 144100320 is about 524.2699694650.

Adding to 144100320 its reverse (23001441), we get a palindrome (167101761).

The spelling of 144100320 in words is "one hundred forty-four million, one hundred thousand, three hundred twenty".