144531513200 has 120 divisors (see below), whose sum is σ = 352984417968. Its totient is φ = 56863088640.

The previous prime is 144531513157. The next prime is 144531513227. The reversal of 144531513200 is 2315135441.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6312974 + ... + 6335826.

Almost surely, 2^144531513200 is an apocalyptic number.

144531513200 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 144531513200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176492208984).

144531513200 is an abundant number, since it is smaller than the sum of its proper divisors (208452904768).

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

144531513200 is a wasteful number, since it uses less digits than its factorization.

144531513200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23131 (or 23120 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 29.

Adding to 144531513200 its reverse (2315135441), we get a palindrome (146846648641).

The spelling of 144531513200 in words is "one hundred forty-four billion, five hundred thirty-one million, five hundred thirteen thousand, two hundred".