144112400 has 60 divisors (see below), whose sum is σ = 366613812. Its totient is φ = 54251520.

The previous prime is 144112391. The next prime is 144112421. The reversal of 144112400 is 4211441.

It can be written as a sum of positive squares in 6 ways, for example, as 12138256 + 131974144 = 3484^2 + 11488^2 .

It is a Harshad number since it is a multiple of its sum of digits (17).

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 11 ways as a sum of consecutive naturals, for example, 3797 + ... + 17396.

Almost surely, 2^144112400 is an apocalyptic number.

144112400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144112400 is an abundant number, since it is smaller than the sum of its proper divisors (222501412).

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

144112400 is a wasteful number, since it uses less digits than its factorization.

144112400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21228 (or 21217 counting only the distinct ones).

The product of its (nonzero) digits is 128, while the sum is 17.

The square root of 144112400 is about 12004.6824197894. The cubic root of 144112400 is about 524.2846189912.

Adding to 144112400 its reverse (4211441), we get a palindrome (148323841).

The spelling of 144112400 in words is "one hundred forty-four million, one hundred twelve thousand, four hundred".