144542400 has 84 divisors (see below), whose sum is σ = 474235272. Its totient is φ = 38543360.

The previous prime is 144542399. The next prime is 144542407. The reversal of 144542400 is 4245441.

It is a happy number.

144542400 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is not an unprimeable number, because it can be changed into a prime (144542407) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10257 + ... + 19856.

It is an arithmetic number, because the mean of its divisors is an integer number (5645658).

Almost surely, 2^144542400 is an apocalyptic number.

144542400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144542400 is an abundant number, since it is smaller than the sum of its proper divisors (329692872).

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

144542400 is a wasteful number, since it uses less digits than its factorization.

144542400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30138 (or 30123 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 24.

The square root of 144542400 is about 12022.5787583197. The cubic root of 144542400 is about 524.8055515722.

Adding to 144542400 its reverse (4245441), we get a palindrome (148787841).

The spelling of 144542400 in words is "one hundred forty-four million, five hundred forty-two thousand, four hundred".