13653451152 has 160 divisors (see below), whose sum is σ = 43017960960. Its totient is φ = 4111793280.

The previous prime is 13653451139. The next prime is 13653451187. The reversal of 13653451152 is 25115435631.

13653451152 is a `hidden beast` number, since 1 + 3 + 6 + 53 + 451 + 152 = 666.

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

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, 765763 + ... + 783389.

It is an arithmetic number, because the mean of its divisors is an integer number (268862256).

Almost surely, 2^13653451152 is an apocalyptic number.

13653451152 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 13653451152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21508980480).

13653451152 is an abundant number, since it is smaller than the sum of its proper divisors (29364509808).

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

13653451152 is a wasteful number, since it uses less digits than its factorization.

13653451152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17818 (or 17806 counting only the distinct ones).

The product of its digits is 54000, while the sum is 36.

Adding to 13653451152 its reverse (25115435631), we get a palindrome (38768886783).

The spelling of 13653451152 in words is "thirteen billion, six hundred fifty-three million, four hundred fifty-one thousand, one hundred fifty-two".