144012400 has 120 divisors (see below), whose sum is σ = 416382080. Its totient is φ = 46759680.

The previous prime is 144012383. The next prime is 144012403. The reversal of 144012400 is 4210441.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144012403) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51847 + ... + 54553.

Almost surely, 2^144012400 is an apocalyptic number.

144012400 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 144012400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208191040).

144012400 is an abundant number, since it is smaller than the sum of its proper divisors (272369680).

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

144012400 is a wasteful number, since it uses less digits than its factorization.

144012400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2751 (or 2740 counting only the distinct ones).

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

The square root of 144012400 is about 12000.5166555445. The cubic root of 144012400 is about 524.1633234068.

Adding to 144012400 its reverse (4210441), we get a palindrome (148222841).

The spelling of 144012400 in words is "one hundred forty-four million, twelve thousand, four hundred".