144263232400 has 135 divisors (see below), whose sum is σ = 403327597491. Its totient is φ = 49443448320.

The previous prime is 144263232383. The next prime is 144263232413. The reversal of 144263232400 is 4232362441.

The square root of 144263232400 is 379820.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 36647742096 + 107615490304 = 191436^2 + 328048^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 53173444 + ... + 53176156.

Almost surely, 2^144263232400 is an apocalyptic number.

144263232400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

144263232400 is the 379820-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144263232400

144263232400 is an abundant number, since it is smaller than the sum of its proper divisors (259064365091).

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

144263232400 is an frugal number, since it uses more digits than its factorization.

144263232400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5458 (or 2727 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 31.

Adding to 144263232400 its reverse (4232362441), we get a palindrome (148495594841).

The spelling of 144263232400 in words is "one hundred forty-four billion, two hundred sixty-three million, two hundred thirty-two thousand, four hundred".