13104000142560 has 144 divisors (see below), whose sum is σ = 45384824708496. Its totient is φ = 3442244788224.

The previous prime is 13104000142531. The next prime is 13104000142643. The reversal of 13104000142560 is 6524100040131.

It is a happy number.

13104000142560 is a `hidden beast` number, since 1 + 3 + 1 + 0 + 400 + 0 + 1 + 4 + 256 + 0 = 666.

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

13104000142560 is a modest number, since divided by 142560 gives 131040 as remainder.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 67813969 + ... + 68006928.

It is an arithmetic number, because the mean of its divisors is an integer number (315172393809).

Almost surely, 2^{13104000142560} is an apocalyptic number.

13104000142560 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13104000142560 is an abundant number, since it is smaller than the sum of its proper divisors (32280824565936).

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

13104000142560 is a wasteful number, since it uses less digits than its factorization.

13104000142560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 135820985 (or 135820974 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 13104000142560 its reverse (6524100040131), we get a palindrome (19628100182691).

The spelling of 13104000142560 in words is "thirteen trillion, one hundred four billion, one hundred forty-two thousand, five hundred sixty".