135035100 has 108 divisors (see below), whose sum is σ = 439015304. Its totient is φ = 36002880.

The previous prime is 135035053. The next prime is 135035111. The reversal of 135035100 is 1530531.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (108).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 21522 + ... + 27078.

Almost surely, 2^135035100 is an apocalyptic number.

135035100 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 135035100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219507652).

135035100 is an abundant number, since it is smaller than the sum of its proper divisors (303980204).

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

135035100 is a wasteful number, since it uses less digits than its factorization.

135035100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5586 (or 5567 counting only the distinct ones).

The product of its (nonzero) digits is 225, while the sum is 18.

The square root of 135035100 is about 11620.4604039599. The cubic root of 135035100 is about 513.0372395250.

Adding to 135035100 its reverse (1530531), we get a palindrome (136565631).

The spelling of 135035100 in words is "one hundred thirty-five million, thirty-five thousand, one hundred".