144515113320000 has 280 divisors, whose sum is σ = 480661833427776. Its totient is φ = 38306595584000.

The previous prime is 144515113319999. The next prime is 144515113320089. The reversal of 144515113320000 is 23311515441.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a self number, because there is not a number n which added to its sum of digits gives 144515113320000.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 16434334 + ... + 23645666.

Almost surely, 2^{144515113320000} is an apocalyptic number.

144515113320000 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 144515113320000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240330916713888).

144515113320000 is an abundant number, since it is smaller than the sum of its proper divisors (336146720107776).

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

144515113320000 is an equidigital number, since it uses as much as digits as its factorization.

144515113320000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7211535 (or 7211510 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

Adding to 144515113320000 its reverse (23311515441), we get a palindrome (144538424835441).

The spelling of 144515113320000 in words is "one hundred forty-four trillion, five hundred fifteen billion, one hundred thirteen million, three hundred twenty thousand".