13706634135700 has 72 divisors (see below), whose sum is σ = 32454945875520. Its totient is φ = 4983062438400.

The previous prime is 13706634135679. The next prime is 13706634135703. The reversal of 13706634135700 is 753143660731.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13706634135703) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3242241 + ... + 6158359.

It is an arithmetic number, because the mean of its divisors is an integer number (450763137160).

Almost surely, 2^{13706634135700} is an apocalyptic number.

13706634135700 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

13706634135700 is an abundant number, since it is smaller than the sum of its proper divisors (18748311739820).

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

13706634135700 is a wasteful number, since it uses less digits than its factorization.

13706634135700 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2920417 (or 2920410 counting only the distinct ones).

The product of its (nonzero) digits is 952560, while the sum is 46.

The spelling of 13706634135700 in words is "thirteen trillion, seven hundred six billion, six hundred thirty-four million, one hundred thirty-five thousand, seven hundred".