136720418392800 has 432 divisors, whose sum is σ = 529288566769872. Its totient is φ = 32933230387200.

The previous prime is 136720418392787. The next prime is 136720418392937. The reversal of 136720418392800 is 8293814027631.

It is a happy number.

136720418392800 is a `hidden beast` number, since 1 + 3 + 67 + 2 + 0 + 418 + 3 + 92 + 80 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 6936732 + ... + 17932068.

It is an arithmetic number, because the mean of its divisors is an integer number (1225205015671).

Almost surely, 2^{136720418392800} is an apocalyptic number.

136720418392800 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 136720418392800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (264644283384936).

136720418392800 is an abundant number, since it is smaller than the sum of its proper divisors (392568148377072).

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

136720418392800 is a wasteful number, since it uses less digits than its factorization.

136720418392800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10995531 (or 10995515 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 136720418392800 in words is "one hundred thirty-six trillion, seven hundred twenty billion, four hundred eighteen million, three hundred ninety-two thousand, eight hundred".