144742400 has 144 divisors (see below), whose sum is σ = 393021720. Its totient is φ = 52428800.

The previous prime is 144742397. The next prime is 144742421. The reversal of 144742400 is 4247441.

It is a self number, because there is not a number n which added to its sum of digits gives 144742400.

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, 563072 + ... + 563328.

Almost surely, 2^144742400 is an apocalyptic number.

144742400 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 144742400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196510860).

144742400 is an abundant number, since it is smaller than the sum of its proper divisors (248279320).

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

144742400 is a wasteful number, since it uses less digits than its factorization.

144742400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 300 (or 275 counting only the distinct ones).

The product of its (nonzero) digits is 3584, while the sum is 26.

The square root of 144742400 is about 12030.8935661488. The cubic root of 144742400 is about 525.0474938137.

Adding to 144742400 its reverse (4247441), we get a palindrome (148989841).

The spelling of 144742400 in words is "one hundred forty-four million, seven hundred forty-two thousand, four hundred".