144945400 has 96 divisors (see below), whose sum is σ = 361584000. Its totient is φ = 53841920.

The previous prime is 144945341. The next prime is 144945413. The reversal of 144945400 is 4549441.

144945400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 23 ways as a sum of consecutive naturals, for example, 302361 + ... + 302839.

It is an arithmetic number, because the mean of its divisors is an integer number (3766500).

Almost surely, 2^144945400 is an apocalyptic number.

144945400 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 144945400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180792000).

144945400 is an abundant number, since it is smaller than the sum of its proper divisors (216638600).

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

144945400 is a wasteful number, since it uses less digits than its factorization.

144945400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 601 (or 592 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 31.

The square root of 144945400 is about 12039.3272237281. The cubic root of 144945400 is about 525.2928373850.

The spelling of 144945400 in words is "one hundred forty-four million, nine hundred forty-five thousand, four hundred".