13536991242000 has 160 divisors (see below), whose sum is σ = 48492511042560. Its totient is φ = 3609864316800.

The previous prime is 13536991241971. The next prime is 13536991242077. The reversal of 13536991242000 is 24219963531.

13536991242000 is a `hidden beast` number, since 1 + 3 + 536 + 9 + 91 + 2 + 4 + 20 + 0 + 0 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 125288512 + ... + 125396511.

It is an arithmetic number, because the mean of its divisors is an integer number (303078194016).

Almost surely, 2^{13536991242000} is an apocalyptic number.

13536991242000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13536991242000 is an abundant number, since it is smaller than the sum of its proper divisors (34955519800560).

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

13536991242000 is a wasteful number, since it uses less digits than its factorization.

13536991242000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 250685055 (or 250685033 counting only the distinct ones).

The product of its (nonzero) digits is 349920, while the sum is 45.

The spelling of 13536991242000 in words is "thirteen trillion, five hundred thirty-six billion, nine hundred ninety-one million, two hundred forty-two thousand".