144240103200032 has 192 divisors, whose sum is σ = 339107079757824. Its totient is φ = 59049846789120.

The previous prime is 144240103200013. The next prime is 144240103200113. The reversal of 144240103200032 is 230002301042441.

It is a junction number, because it is equal to n+sod(n) for n = 144240103199974 and 144240103200010.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 17108298857 + ... + 17108307287.

It is an arithmetic number, because the mean of its divisors is an integer number (1766182707072).

Almost surely, 2^{144240103200032} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 144240103200032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169553539878912).

144240103200032 is an abundant number, since it is smaller than the sum of its proper divisors (194866976557792).

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

144240103200032 is a wasteful number, since it uses less digits than its factorization.

144240103200032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12551 (or 12543 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 26.

Adding to 144240103200032 its reverse (230002301042441), we get a palindrome (374242404242473).

The spelling of 144240103200032 in words is "one hundred forty-four trillion, two hundred forty billion, one hundred three million, two hundred thousand, thirty-two".