13152065472 has 224 divisors, whose sum is σ = 47587814400. Its totient is φ = 3468635136.

The previous prime is 13152065467. The next prime is 13152065501. The reversal of 13152065472 is 27456025131.

13152065472 is a `hidden beast` number, since 1 + 3 + 1 + 520 + 65 + 4 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 115429 + ... + 199067.

It is an arithmetic number, because the mean of its divisors is an integer number (212445600).

Almost surely, 2^13152065472 is an apocalyptic number.

13152065472 is a gapful number since it is divisible by the number (12) 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 13152065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23793907200).

13152065472 is an abundant number, since it is smaller than the sum of its proper divisors (34435748928).

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

13152065472 is a wasteful number, since it uses less digits than its factorization.

13152065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83680 (or 83664 counting only the distinct ones).

The product of its (nonzero) digits is 50400, while the sum is 36.

The spelling of 13152065472 in words is "thirteen billion, one hundred fifty-two million, sixty-five thousand, four hundred seventy-two".