135809285136 has 240 divisors, whose sum is σ = 413757892800. Its totient is φ = 38269034496.

The previous prime is 135809285107. The next prime is 135809285189. The reversal of 135809285136 is 631582908531.

It is a happy number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 134597400 + ... + 134598408.

It is an arithmetic number, because the mean of its divisors is an integer number (1723991220).

Almost surely, 2^135809285136 is an apocalyptic number.

135809285136 is a gapful number since it is divisible by the number (16) 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 135809285136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206878946400).

135809285136 is an abundant number, since it is smaller than the sum of its proper divisors (277948607664).

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

135809285136 is a wasteful number, since it uses less digits than its factorization.

135809285136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1766 (or 1753 counting only the distinct ones).

The product of its (nonzero) digits is 1555200, while the sum is 51.

The spelling of 135809285136 in words is "one hundred thirty-five billion, eight hundred nine million, two hundred eighty-five thousand, one hundred thirty-six".