13255106144 has 96 divisors (see below), whose sum is σ = 31150344960. Its totient is φ = 5433343488.

The previous prime is 13255106141. The next prime is 13255106167. The reversal of 13255106144 is 44160155231.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 13255106144.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13255106141) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 475439 + ... + 502545.

It is an arithmetic number, because the mean of its divisors is an integer number (324482760).

Almost surely, 2^13255106144 is an apocalyptic number.

13255106144 is a gapful number since it is divisible by the number (14) 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 13255106144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15575172480).

13255106144 is an abundant number, since it is smaller than the sum of its proper divisors (17895238816).

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

13255106144 is a wasteful number, since it uses less digits than its factorization.

13255106144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27220 (or 27212 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 32.

The spelling of 13255106144 in words is "thirteen billion, two hundred fifty-five million, one hundred six thousand, one hundred forty-four".