13145440000 has 540 divisors, whose sum is σ = 41614016752. Its totient is φ = 4055040000.

The previous prime is 13145439949. The next prime is 13145440013. The reversal of 13145440000 is 4454131.

13145440000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (22).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 135519952 + ... + 135520048.

Almost surely, 2^13145440000 is an apocalyptic number.

13145440000 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 13145440000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20807008376).

13145440000 is an abundant number, since it is smaller than the sum of its proper divisors (28468576752).

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

13145440000 is an frugal number, since it uses more digits than its factorization.

13145440000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 162 (or 122 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 22.

Adding to 13145440000 its reverse (4454131), we get a palindrome (13149894131).

The spelling of 13145440000 in words is "thirteen billion, one hundred forty-five million, four hundred forty thousand".