136706356800 has 2016 divisors, whose sum is σ = 603814603392. Its totient is φ = 30098718720.

The previous prime is 136706356799. The next prime is 136706356823. The reversal of 136706356800 is 8653607631.

136706356800 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 0 + 635 + 6 + 8 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 3179217579 + ... + 3179217621.

It is an arithmetic number, because the mean of its divisors is an integer number (299511212).

Almost surely, 2^136706356800 is an apocalyptic number.

136706356800 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 136706356800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301907301696).

136706356800 is an abundant number, since it is smaller than the sum of its proper divisors (467108246592).

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

136706356800 is a wasteful number, since it uses less digits than its factorization.

136706356800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 147 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 544320, while the sum is 45.

The spelling of 136706356800 in words is "one hundred thirty-six billion, seven hundred six million, three hundred fifty-six thousand, eight hundred".