136320639436800 has 3456 divisors, whose sum is σ = 632462299822080. Its totient is φ = 27289504972800.

The previous prime is 136320639436771. The next prime is 136320639436829. The reversal of 136320639436800 is 8634936023631.

It is a happy number.

136320639436800 is a `hidden beast` number, since 1 + 363 + 206 + 39 + 43 + 6 + 8 + 0 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (136320639436771) and next prime (136320639436829).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 63612056529 + ... + 63612058671.

It is an arithmetic number, because the mean of its divisors is an integer number (183004137680).

Almost surely, 2^{136320639436800} is an apocalyptic number.

136320639436800 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 136320639436800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316231149911040).

136320639436800 is an abundant number, since it is smaller than the sum of its proper divisors (496141660385280).

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

136320639436800 is a wasteful number, since it uses less digits than its factorization.

136320639436800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2279 (or 2251 counting only the distinct ones).

The product of its (nonzero) digits is 10077696, while the sum is 54.

The spelling of 136320639436800 in words is "one hundred thirty-six trillion, three hundred twenty billion, six hundred thirty-nine million, four hundred thirty-six thousand, eight hundred".