13137366748800 has 768 divisors, whose sum is σ = 52401088972800. Its totient is φ = 2825902080000.

The previous prime is 13137366748769. The next prime is 13137366748841. The reversal of 13137366748800 is 884766373131.

It is a Harshad number since it is a multiple of its sum of digits (57).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 192762730 + ... + 192830870.

It is an arithmetic number, because the mean of its divisors is an integer number (68230584600).

Almost surely, 2^{13137366748800} is an apocalyptic number.

13137366748800 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 13137366748800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26200544486400).

13137366748800 is an abundant number, since it is smaller than the sum of its proper divisors (39263722224000).

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

13137366748800 is a wasteful number, since it uses less digits than its factorization.

13137366748800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68345 (or 68328 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 57.

The spelling of 13137366748800 in words is "thirteen trillion, one hundred thirty-seven billion, three hundred sixty-six million, seven hundred forty-eight thousand, eight hundred".