136946810880 has 384 divisors, whose sum is σ = 517961377440. Its totient is φ = 33195294720.

The previous prime is 136946810857. The next prime is 136946810909. The reversal of 136946810880 is 88018649631.

136946810880 is a `hidden beast` number, since 13 + 69 + 468 + 108 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 16215939 + ... + 16224381.

Almost surely, 2^136946810880 is an apocalyptic number.

136946810880 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 136946810880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (258980688720).

136946810880 is an abundant number, since it is smaller than the sum of its proper divisors (381014566560).

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

136946810880 is an equidigital number, since it uses as much as digits as its factorization.

136946810880 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8495 (or 8464 counting only the distinct ones).

The product of its (nonzero) digits is 1990656, while the sum is 54.

The spelling of 136946810880 in words is "one hundred thirty-six billion, nine hundred forty-six million, eight hundred ten thousand, eight hundred eighty".