135103541200 has 60 divisors (see below), whose sum is σ = 335778916140. Its totient is φ = 52177914880.

The previous prime is 135103541191. The next prime is 135103541231. The reversal of 135103541200 is 2145301531.

It is a happy number.

It can be written as a sum of positive squares in 6 ways, for example, as 919059856 + 134184481344 = 30316^2 + 366312^2 .

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

It is a congruent number.

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, 5811829 + ... + 5835028.

It is an arithmetic number, because the mean of its divisors is an integer number (5596315269).

Almost surely, 2^135103541200 is an apocalyptic number.

135103541200 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135103541200 is an abundant number, since it is smaller than the sum of its proper divisors (200675374940).

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

135103541200 is a wasteful number, since it uses less digits than its factorization.

135103541200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11646904 (or 11646893 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 25.

Adding to 135103541200 its reverse (2145301531), we get a palindrome (137248842731).

The spelling of 135103541200 in words is "one hundred thirty-five billion, one hundred three million, five hundred forty-one thousand, two hundred".