135035136 has 216 divisors, whose sum is σ = 420900480. Its totient is φ = 41545728.

The previous prime is 135035123. The next prime is 135035137. The reversal of 135035136 is 631530531.

It is not an unprimeable number, because it can be changed into a prime (135035137) 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, 2873065 + ... + 2873111.

Almost surely, 2^135035136 is an apocalyptic number.

135035136 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 135035136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (210450240).

135035136 is an abundant number, since it is smaller than the sum of its proper divisors (285865344).

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

135035136 is a wasteful number, since it uses less digits than its factorization.

135035136 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 141 (or 124 counting only the distinct ones).

The product of its (nonzero) digits is 4050, while the sum is 27.

The square root of 135035136 is about 11620.4619529518. The cubic root of 135035136 is about 513.0372851165.

Adding to 135035136 its reverse (631530531), we get a palindrome (766565667).

The spelling of 135035136 in words is "one hundred thirty-five million, thirty-five thousand, one hundred thirty-six".