13564152000 has 448 divisors, whose sum is σ = 56881044480. Its totient is φ = 3100032000.

The previous prime is 13564151999. The next prime is 13564152023. The reversal of 13564152000 is 25146531.

13564152000 is a `hidden beast` number, since 13 + 5 + 641 + 5 + 2 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 1507515 + ... + 1516485.

Almost surely, 2^13564152000 is an apocalyptic number.

13564152000 is a gapful number since it is divisible by the number (10) 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 13564152000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28440522240).

13564152000 is an abundant number, since it is smaller than the sum of its proper divisors (43316892480).

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

13564152000 is an equidigital number, since it uses as much as digits as its factorization.

13564152000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9014 (or 8988 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 27.

Adding to 13564152000 its reverse (25146531), we get a palindrome (13589298531).

The spelling of 13564152000 in words is "thirteen billion, five hundred sixty-four million, one hundred fifty-two thousand".