144361200 has 120 divisors (see below), whose sum is σ = 470505600. Its totient is φ = 37825280.

The previous prime is 144361193. The next prime is 144361211. The reversal of 144361200 is 2163441.

It is a tau number, because it is divible by the number of its divisors (120).

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, 69781 + ... + 71819.

It is an arithmetic number, because the mean of its divisors is an integer number (3920880).

Almost surely, 2^144361200 is an apocalyptic number.

144361200 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 144361200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (235252800).

144361200 is an abundant number, since it is smaller than the sum of its proper divisors (326144400).

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

144361200 is a wasteful number, since it uses less digits than its factorization.

144361200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2119 (or 2108 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 21.

The square root of 144361200 is about 12015.0405742136. The cubic root of 144361200 is about 524.5861591288.

The spelling of 144361200 in words is "one hundred forty-four million, three hundred sixty-one thousand, two hundred".