13512507746000 has 80 divisors (see below), whose sum is σ = 32674378618128. Its totient is φ = 5404815360000.

The previous prime is 13512507745987. The next prime is 13512507746029. The reversal of 13512507746000 is 64770521531.

It can be written as a sum of positive squares in 8 ways, for example, as 9180148575376 + 4332359170624 = 3029876^2 + 2081432^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 67101464 + ... + 67302536.

Almost surely, 2^{13512507746000} is an apocalyptic number.

13512507746000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13512507746000 is an abundant number, since it is smaller than the sum of its proper divisors (19161870872128).

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

13512507746000 is a wasteful number, since it uses less digits than its factorization.

13512507746000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 234697 (or 234681 counting only the distinct ones).

The product of its (nonzero) digits is 176400, while the sum is 41.

The spelling of 13512507746000 in words is "thirteen trillion, five hundred twelve billion, five hundred seven million, seven hundred forty-six thousand".