144514400 has 72 divisors (see below), whose sum is σ = 361086264. Its totient is φ = 56448000.

The previous prime is 144514379. The next prime is 144514421. The reversal of 144514400 is 4415441.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (144514379) and next prime (144514421).

It is a congruent number.

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, 32300 + ... + 36500.

It is an arithmetic number, because the mean of its divisors is an integer number (5015087).

Almost surely, 2^144514400 is an apocalyptic number.

144514400 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 144514400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180543132).

144514400 is an abundant number, since it is smaller than the sum of its proper divisors (216571864).

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

144514400 is a wasteful number, since it uses less digits than its factorization.

144514400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4264 (or 4251 counting only the distinct ones).

The product of its (nonzero) digits is 1280, while the sum is 23.

The square root of 144514400 is about 12021.4142262880. The cubic root of 144514400 is about 524.7716618522.

Adding to 144514400 its reverse (4415441), we get a palindrome (148929841).

The spelling of 144514400 in words is "one hundred forty-four million, five hundred fourteen thousand, four hundred".