144531144400 has 60 divisors (see below), whose sum is σ = 362333318112. Its totient is φ = 55298869120.

The previous prime is 144531144379. The next prime is 144531144421. The reversal of 144531144400 is 4441135441.

144531144400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (144531144379) and next prime (144531144421).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 7845754 + ... + 7864153.

Almost surely, 2^144531144400 is an apocalyptic number.

144531144400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

144531144400 is an abundant number, since it is smaller than the sum of its proper divisors (217802173712).

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

144531144400 is a wasteful number, since it uses less digits than its factorization.

144531144400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15709948 (or 15709937 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 31.

Adding to 144531144400 its reverse (4441135441), we get a palindrome (148972279841).

The spelling of 144531144400 in words is "one hundred forty-four billion, five hundred thirty-one million, one hundred forty-four thousand, four hundred".