13144352760 has 1280 divisors, whose sum is σ = 60217344000. Its totient is φ = 2489564160.

The previous prime is 13144352743. The next prime is 13144352761. The reversal of 13144352760 is 6725344131.

13144352760 is a `hidden beast` number, since 1 + 31 + 4 + 43 + 527 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13144352761) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 222785611 + ... + 222785669.

It is an arithmetic number, because the mean of its divisors is an integer number (47044800).

Almost surely, 2^13144352760 is an apocalyptic number.

13144352760 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 13144352760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30108672000).

13144352760 is an abundant number, since it is smaller than the sum of its proper divisors (47072991240).

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

13144352760 is a wasteful number, since it uses less digits than its factorization.

13144352760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 166 (or 153 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

Adding to 13144352760 its reverse (6725344131), we get a palindrome (19869696891).

The spelling of 13144352760 in words is "thirteen billion, one hundred forty-four million, three hundred fifty-two thousand, seven hundred sixty".