144115432000 has 112 divisors (see below), whose sum is σ = 361792400112. Its totient is φ = 56856268800.

The previous prime is 144115431983. The next prime is 144115432031. The reversal of 144115432000 is 234511441.

It can be written as a sum of positive squares in 8 ways, for example, as 19579845184 + 124535586816 = 139928^2 + 352896^2 .

It is a Harshad number since it is a multiple of its sum of digits (25).

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 460614 + ... + 707386.

Almost surely, 2^144115432000 is an apocalyptic number.

144115432000 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 144115432000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180896200056).

144115432000 is an abundant number, since it is smaller than the sum of its proper divisors (217676968112).

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

144115432000 is an equidigital number, since it uses as much as digits as its factorization.

144115432000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 246873 (or 246853 counting only the distinct ones).

The product of its (nonzero) digits is 1920, while the sum is 25.

Adding to 144115432000 its reverse (234511441), we get a palindrome (144349943441).

The spelling of 144115432000 in words is "one hundred forty-four billion, one hundred fifteen million, four hundred thirty-two thousand".