144102400 has 132 divisors (see below), whose sum is σ = 385564732. Its totient is φ = 53084160.

The previous prime is 144102379. The next prime is 144102401. The reversal of 144102400 is 4201441.

It can be written as a sum of positive squares in 6 ways, for example, as 40551424 + 103550976 = 6368^2 + 10176^2 .

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 (144102401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 332584 + ... + 333016.

Almost surely, 2^144102400 is an apocalyptic number.

144102400 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 144102400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192782366).

144102400 is an abundant number, since it is smaller than the sum of its proper divisors (241462332).

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

144102400 is a wasteful number, since it uses less digits than its factorization.

144102400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 476 (or 453 counting only the distinct ones).

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

The square root of 144102400 is about 12004.2659084177. The cubic root of 144102400 is about 524.2724919583.

Adding to 144102400 its reverse (4201441), we get a palindrome (148303841).

It can be divided in two parts, 144 and 102400, that multiplied together give a square (14745600 = 3840²).

The spelling of 144102400 in words is "one hundred forty-four million, one hundred two thousand, four hundred".