13136860800 has 1152 divisors, whose sum is σ = 58395816000. Its totient is φ = 2872074240.

The previous prime is 13136860777. The next prime is 13136860897. The reversal of 13136860800 is 806863131.

13136860800 is a `hidden beast` number, since 13 + 1 + 36 + 8 + 608 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a super-2 number, since 2×13136860800² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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 143 ways as a sum of consecutive naturals, for example, 122774347 + ... + 122774453.

Almost surely, 2^13136860800 is an apocalyptic number.

13136860800 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 13136860800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29197908000).

13136860800 is an abundant number, since it is smaller than the sum of its proper divisors (45258955200).

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

13136860800 is a wasteful number, since it uses less digits than its factorization.

13136860800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 183 (or 153 counting only the distinct ones).

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

The spelling of 13136860800 in words is "thirteen billion, one hundred thirty-six million, eight hundred sixty thousand, eight hundred".