135435300 has 432 divisors, whose sum is σ = 543048576. Its totient is φ = 25344000.

The previous prime is 135435239. The next prime is 135435301. The reversal of 135435300 is 3534531.

It is a happy number.

135435300 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135435301) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3303280 + ... + 3303320.

Almost surely, 2^135435300 is an apocalyptic number.

135435300 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 135435300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271524288).

135435300 is an abundant number, since it is smaller than the sum of its proper divisors (407613276).

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

135435300 is a wasteful number, since it uses less digits than its factorization.

135435300 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 100 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 2700, while the sum is 24.

The square root of 135435300 is about 11637.6672920306. The cubic root of 135435300 is about 513.5435646834.

Adding to 135435300 its reverse (3534531), we get a palindrome (138969831).

The spelling of 135435300 in words is "one hundred thirty-five million, four hundred thirty-five thousand, three hundred".