144336400 has 120 divisors (see below), whose sum is σ = 383116104. Its totient is φ = 51916800.

The previous prime is 144336391. The next prime is 144336421. The reversal of 144336400 is 4633441.

It is a happy number.

It can be written as a sum of positive squares in 12 ways, for example, as 53934336 + 90402064 = 7344^2 + 9508^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 212862 + ... + 213538.

Almost surely, 2^144336400 is an apocalyptic number.

144336400 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 144336400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191558052).

144336400 is an abundant number, since it is smaller than the sum of its proper divisors (238779704).

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

144336400 is a wasteful number, since it uses less digits than its factorization.

144336400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 749 (or 738 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 25.

The square root of 144336400 is about 12014.0084900919. The cubic root of 144336400 is about 524.5561176269.

Adding to 144336400 its reverse (4633441), we get a palindrome (148969841).

It can be divided in two parts, 144 and 336400, that multiplied together give a square (48441600 = 6960²).

The spelling of 144336400 in words is "one hundred forty-four million, three hundred thirty-six thousand, four hundred".