13152144000 has 384 divisors, whose sum is σ = 44962856640. Its totient is φ = 3400704000.

The previous prime is 13152143989. The next prime is 13152144001. The reversal of 13152144000 is 44125131.

13152144000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (384).

It is not an unprimeable number, because it can be changed into a prime (13152144001) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 80687919 + ... + 80688081.

Almost surely, 2^13152144000 is an apocalyptic number.

13152144000 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 13152144000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22481428320).

13152144000 is an abundant number, since it is smaller than the sum of its proper divisors (31810712640).

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

13152144000 is an equidigital number, since it uses as much as digits as its factorization.

13152144000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 277 (or 214 counting only the distinct ones).

The product of its (nonzero) digits is 480, while the sum is 21.

Adding to 13152144000 its reverse (44125131), we get a palindrome (13196269131).

The spelling of 13152144000 in words is "thirteen billion, one hundred fifty-two million, one hundred forty-four thousand".