135135131200 has 84 divisors (see below), whose sum is σ = 332907365680. Its totient is φ = 53990576640.

The previous prime is 135135131111. The next prime is 135135131207. The reversal of 135135131200 is 2131531531.

135135131200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135135131207) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1325239 + ... + 1423561.

Almost surely, 2^135135131200 is an apocalyptic number.

135135131200 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 135135131200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166453682840).

135135131200 is an abundant number, since it is smaller than the sum of its proper divisors (197772234480).

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

135135131200 is an equidigital number, since it uses as much as digits as its factorization.

135135131200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 99204 (or 99189 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 25.

Adding to 135135131200 its reverse (2131531531), we get a palindrome (137266662731).

The spelling of 135135131200 in words is "one hundred thirty-five billion, one hundred thirty-five million, one hundred thirty-one thousand, two hundred".