136845001728 has 264 divisors, whose sum is σ = 440409921120. Its totient is φ = 40671313920.

The previous prime is 136845001723. The next prime is 136845001739. The reversal of 136845001728 is 827100548631.

136845001728 is a `hidden beast` number, since 1 + 36 + 84 + 500 + 17 + 28 = 666.

It is not an unprimeable number, because it can be changed into a prime (136845001723) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2953783 + ... + 2999753.

Almost surely, 2^136845001728 is an apocalyptic number.

136845001728 is a gapful number since it is divisible by the number (18) 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 136845001728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220204960560).

136845001728 is an abundant number, since it is smaller than the sum of its proper divisors (303564919392).

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

136845001728 is a wasteful number, since it uses less digits than its factorization.

136845001728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46033 (or 46012 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 136845001728 in words is "one hundred thirty-six billion, eight hundred forty-five million, one thousand, seven hundred twenty-eight".