13500137548800 has 4224 divisors, whose sum is σ = 63274243840000. Its totient is φ = 2844328919040.

The previous prime is 13500137548787. The next prime is 13500137548823. The reversal of 13500137548800 is 884573100531.

It is a happy number.

13500137548800 is a `hidden beast` number, since 1 + 3 + 500 + 13 + 7 + 54 + 8 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 364868582382 + ... + 364868582418.

Almost surely, 2^{13500137548800} is an apocalyptic number.

13500137548800 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 13500137548800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31637121920000).

13500137548800 is an abundant number, since it is smaller than the sum of its proper divisors (49774106291200).

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

13500137548800 is an frugal number, since it uses more digits than its factorization.

13500137548800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 73 counting only the distinct ones).

The product of its (nonzero) digits is 403200, while the sum is 45.

The spelling of 13500137548800 in words is "thirteen trillion, five hundred billion, one hundred thirty-seven million, five hundred forty-eight thousand, eight hundred".