135505136 has 80 divisors (see below), whose sum is σ = 293981184. Its totient is φ = 60110592.

The previous prime is 135505129. The next prime is 135505157. The reversal of 135505136 is 631505531.

It is a junction number, because it is equal to n+sod(n) for n = 135505099 and 135505108.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 811325 + ... + 811491.

Almost surely, 2^135505136 is an apocalyptic number.

135505136 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 135505136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (146990592).

135505136 is an abundant number, since it is smaller than the sum of its proper divisors (158476048).

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

135505136 is a wasteful number, since it uses less digits than its factorization.

135505136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 318 (or 312 counting only the distinct ones).

The product of its (nonzero) digits is 6750, while the sum is 29.

The square root of 135505136 is about 11640.6673348223. The cubic root of 135505136 is about 513.6318175635.

The spelling of 135505136 in words is "one hundred thirty-five million, five hundred five thousand, one hundred thirty-six".