13688136000 has 896 divisors, whose sum is σ = 62688337920. Its totient is φ = 2840832000.

The previous prime is 13688135969. The next prime is 13688136013. The reversal of 13688136000 is 63188631.

13688136000 is a `hidden beast` number, since 1 + 36 + 8 + 8 + 13 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 16631589 + ... + 16632411.

Almost surely, 2^13688136000 is an apocalyptic number.

13688136000 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 13688136000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31344168960).

13688136000 is an abundant number, since it is smaller than the sum of its proper divisors (49000201920).

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

13688136000 is a wasteful number, since it uses less digits than its factorization.

13688136000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 877 (or 851 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 36.

The spelling of 13688136000 in words is "thirteen billion, six hundred eighty-eight million, one hundred thirty-six thousand".