13152387168 has 144 divisors (see below), whose sum is σ = 39160059120. Its totient is φ = 4181732352.

The previous prime is 13152387133. The next prime is 13152387187. The reversal of 13152387168 is 86178325131.

It is a happy number.

13152387168 is a `hidden beast` number, since 1 + 31 + 523 + 87 + 16 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 683730 + ... + 702702.

It is an arithmetic number, because the mean of its divisors is an integer number (271944855).

Almost surely, 2^13152387168 is an apocalyptic number.

13152387168 is a gapful number since it is divisible by the number (18) 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 13152387168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19580029560).

13152387168 is an abundant number, since it is smaller than the sum of its proper divisors (26007671952).

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

13152387168 is a wasteful number, since it uses less digits than its factorization.

13152387168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19101 (or 19090 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 13152387168 in words is "thirteen billion, one hundred fifty-two million, three hundred eighty-seven thousand, one hundred sixty-eight".