13566133152 has 384 divisors, whose sum is σ = 48940416000. Its totient is φ = 3594378240.

The previous prime is 13566133151. The next prime is 13566133153. The reversal of 13566133152 is 25133166531.

13566133152 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 613 + 31 + 5 + 2 = 666.

It is an interprime number because it is at equal distance from previous prime (13566133151) and next prime (13566133153).

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

It is not an unprimeable number, because it can be changed into a prime (13566133151) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2344599 + ... + 2350377.

It is an arithmetic number, because the mean of its divisors is an integer number (127449000).

Almost surely, 2^13566133152 is an apocalyptic number.

13566133152 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 13566133152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24470208000).

13566133152 is an abundant number, since it is smaller than the sum of its proper divisors (35374282848).

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

13566133152 is a wasteful number, since it uses less digits than its factorization.

13566133152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5841 (or 5827 counting only the distinct ones).

The product of its digits is 48600, while the sum is 36.

Adding to 13566133152 its reverse (25133166531), we get a palindrome (38699299683).

The spelling of 13566133152 in words is "thirteen billion, five hundred sixty-six million, one hundred thirty-three thousand, one hundred fifty-two".