13144251276 has 144 divisors (see below), whose sum is σ = 37303025760. Its totient is φ = 3874590720.

The previous prime is 13144251271. The next prime is 13144251277. The reversal of 13144251276 is 67215244131.

13144251276 is a `hidden beast` number, since 1 + 31 + 4 + 42 + 512 + 76 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 13144251276.

It is not an unprimeable number, because it can be changed into a prime (13144251271) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1774236 + ... + 1781628.

It is an arithmetic number, because the mean of its divisors is an integer number (259048790).

Almost surely, 2^13144251276 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13144251276, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18651512880).

13144251276 is an abundant number, since it is smaller than the sum of its proper divisors (24158774484).

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

13144251276 is a wasteful number, since it uses less digits than its factorization.

13144251276 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7576 (or 7571 counting only the distinct ones).

The product of its digits is 40320, while the sum is 36.

The spelling of 13144251276 in words is "thirteen billion, one hundred forty-four million, two hundred fifty-one thousand, two hundred seventy-six".