144234400 has 72 divisors (see below), whose sum is σ = 364312620. Its totient is φ = 55695360.

The previous prime is 144234397. The next prime is 144234401. The reversal of 144234400 is 4432441.

It can be written as a sum of positive squares in 6 ways, for example, as 71166096 + 73068304 = 8436^2 + 8548^2 .

It is not an unprimeable number, because it can be changed into a prime (144234401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 20092 + ... + 26308.

Almost surely, 2^144234400 is an apocalyptic number.

144234400 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 144234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182156310).

144234400 is an abundant number, since it is smaller than the sum of its proper divisors (220078220).

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

144234400 is a wasteful number, since it uses less digits than its factorization.

144234400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6266 (or 6253 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 22.

The square root of 144234400 is about 12009.7626954074. The cubic root of 144234400 is about 524.4325236419.

Adding to 144234400 its reverse (4432441), we get a palindrome (148666841).

The spelling of 144234400 in words is "one hundred forty-four million, two hundred thirty-four thousand, four hundred".