13542354636000 has 192 divisors, whose sum is σ = 44438595679296. Its totient is φ = 3605283840000.

The previous prime is 13542354635947. The next prime is 13542354636037. The reversal of 13542354636000 is 63645324531.

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 31 ways as a sum of consecutive naturals, for example, 6273124 + ... + 8150876.

It is an arithmetic number, because the mean of its divisors is an integer number (231451019163).

Almost surely, 2^{13542354636000} is an apocalyptic number.

13542354636000 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 13542354636000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22219297839648).

13542354636000 is an abundant number, since it is smaller than the sum of its proper divisors (30896241043296).

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

13542354636000 is a wasteful number, since it uses less digits than its factorization.

13542354636000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1878382 (or 1878364 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 42.

The spelling of 13542354636000 in words is "thirteen trillion, five hundred forty-two billion, three hundred fifty-four million, six hundred thirty-six thousand".