135201100 has 36 divisors (see below), whose sum is σ = 294918624. Its totient is φ = 53798080.

The previous prime is 135201047. The next prime is 135201113. The reversal of 135201100 is 1102531.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 16269 + ... + 23131.

It is an arithmetic number, because the mean of its divisors is an integer number (8192184).

Almost surely, 2^135201100 is an apocalyptic number.

135201100 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 135201100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (147459312).

135201100 is an abundant number, since it is smaller than the sum of its proper divisors (159717524).

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

135201100 is a wasteful number, since it uses less digits than its factorization.

135201100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7074 (or 7067 counting only the distinct ones).

The product of its (nonzero) digits is 30, while the sum is 13.

The square root of 135201100 is about 11627.6007843407. The cubic root of 135201100 is about 513.2473807102.

Adding to 135201100 its reverse (1102531), we get a palindrome (136303631).

The spelling of 135201100 in words is "one hundred thirty-five million, two hundred one thousand, one hundred".