144014200 has 96 divisors (see below), whose sum is σ = 368971920. Its totient is φ = 52272000.

The previous prime is 144014173. The next prime is 144014219. The reversal of 144014200 is 2410441.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 265930 + ... + 266470.

Almost surely, 2^144014200 is an apocalyptic number.

144014200 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 144014200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184485960).

144014200 is an abundant number, since it is smaller than the sum of its proper divisors (224957720).

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

144014200 is a wasteful number, since it uses less digits than its factorization.

144014200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590 (or 559 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 16.

The square root of 144014200 is about 12000.5916520812. The cubic root of 144014200 is about 524.1655072235.

Adding to 144014200 its reverse (2410441), we get a palindrome (146424641).

The spelling of 144014200 in words is "one hundred forty-four million, fourteen thousand, two hundred".