136729438560 has 1440 divisors, whose sum is σ = 602962224480. Its totient is φ = 28904325120.

The previous prime is 136729438543. The next prime is 136729438597. The reversal of 136729438560 is 65834927631.

136729438560 is a `hidden beast` number, since 1 + 3 + 6 + 72 + 9 + 4 + 3 + 8 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 136729438497 and 136729438506.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 387335344 + ... + 387335696.

It is an arithmetic number, because the mean of its divisors is an integer number (418723767).

It is a 1-persistent number, because it is pandigital, but 2⋅136729438560 = 273458877120 is not.

Almost surely, 2^136729438560 is an apocalyptic number.

136729438560 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 136729438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (301481112240).

136729438560 is an abundant number, since it is smaller than the sum of its proper divisors (466232785920).

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

136729438560 is a wasteful number, since it uses less digits than its factorization.

136729438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 406 counting only the distinct ones).

The product of its (nonzero) digits is 6531840, while the sum is 54.

The spelling of 136729438560 in words is "one hundred thirty-six billion, seven hundred twenty-nine million, four hundred thirty-eight thousand, five hundred sixty".