13136234400 has 576 divisors, whose sum is σ = 50040547200. Its totient is φ = 3321077760.

The previous prime is 13136234399. The next prime is 13136234411. The reversal of 13136234400 is 443263131.

13136234400 is a `hidden beast` number, since 1 + 31 + 3 + 623 + 4 + 4 + 0 + 0 = 666.

13136234400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 95 ways as a sum of consecutive naturals, for example, 41968644 + ... + 41968956.

It is an arithmetic number, because the mean of its divisors is an integer number (86875950).

Almost surely, 2^13136234400 is an apocalyptic number.

13136234400 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 13136234400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25020273600).

13136234400 is an abundant number, since it is smaller than the sum of its proper divisors (36904312800).

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

13136234400 is a wasteful number, since it uses less digits than its factorization.

13136234400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 438 (or 419 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 27.

Adding to 13136234400 its reverse (443263131), we get a palindrome (13579497531).

The spelling of 13136234400 in words is "thirteen billion, one hundred thirty-six million, two hundred thirty-four thousand, four hundred".