144003200 has 96 divisors (see below), whose sum is σ = 388167120. Its totient is φ = 52352000.

The previous prime is 144003187. The next prime is 144003217. The reversal of 144003200 is 2300441.

It is a super-2 number, since 2×144003200² = 41473843220480000, which contains 22 as substring.

It is a zygodrome in base 7.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 33155 + ... + 37245.

Almost surely, 2^144003200 is an apocalyptic number.

144003200 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 144003200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194083560).

144003200 is an abundant number, since it is smaller than the sum of its proper divisors (244163920).

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

144003200 is a wasteful number, since it uses less digits than its factorization.

144003200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4126 (or 4109 counting only the distinct ones).

The product of its (nonzero) digits is 96, while the sum is 14.

The square root of 144003200 is about 12000.1333325926. The cubic root of 144003200 is about 524.1521613929.

Adding to 144003200 its reverse (2300441), we get a palindrome (146303641).

The spelling of 144003200 in words is "one hundred forty-four million, three thousand, two hundred".