144552400 has 60 divisors (see below), whose sum is σ = 348554700. Its totient is φ = 57610240.

The previous prime is 144552389. The next prime is 144552409. The reversal of 144552400 is 4255441.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 46621584 + 97930816 = 6828^2 + 9896^2 .

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (144552409) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 155136 + ... + 156064.

It is an arithmetic number, because the mean of its divisors is an integer number (5809245).

Almost surely, 2^144552400 is an apocalyptic number.

144552400 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 144552400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174277350).

144552400 is an abundant number, since it is smaller than the sum of its proper divisors (204002300).

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

144552400 is a wasteful number, since it uses less digits than its factorization.

144552400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1336 (or 1325 counting only the distinct ones).

The product of its (nonzero) digits is 3200, while the sum is 25.

The square root of 144552400 is about 12022.9946352812. The cubic root of 144552400 is about 524.8176539830.

The spelling of 144552400 in words is "one hundred forty-four million, five hundred fifty-two thousand, four hundred".