144531400 has 48 divisors (see below), whose sum is σ = 361890900. Its totient is φ = 53364480.

The previous prime is 144531397. The next prime is 144531421. The reversal of 144531400 is 4135441.

It can be written as a sum of positive squares in 6 ways, for example, as 1633284 + 142898116 = 1278^2 + 11954^2 .

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, 25195 + ... + 30394.

Almost surely, 2^144531400 is an apocalyptic number.

144531400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531400 is an abundant number, since it is smaller than the sum of its proper divisors (217359500).

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

144531400 is a wasteful number, since it uses less digits than its factorization.

144531400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 55618 (or 55609 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

The square root of 144531400 is about 12022.1212770459. The cubic root of 144531400 is about 524.7922382757.

Adding to 144531400 its reverse (4135441), we get a palindrome (148666841).

The spelling of 144531400 in words is "one hundred forty-four million, five hundred thirty-one thousand, four hundred".