135603300 has 144 divisors (see below), whose sum is σ = 463081472. Its totient is φ = 29980800.

The previous prime is 135603289. The next prime is 135603313. The reversal of 135603300 is 3306531.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 64059 + ... + 66141.

Almost surely, 2^135603300 is an apocalyptic number.

135603300 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 135603300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231540736).

135603300 is an abundant number, since it is smaller than the sum of its proper divisors (327478172).

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

135603300 is a wasteful number, since it uses less digits than its factorization.

135603300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2138 (or 2131 counting only the distinct ones).

The product of its (nonzero) digits is 810, while the sum is 21.

The square root of 135603300 is about 11644.8829964066. The cubic root of 135603300 is about 513.7558177424.

Adding to 135603300 its reverse (3306531), we get a palindrome (138909831).

The spelling of 135603300 in words is "one hundred thirty-five million, six hundred three thousand, three hundred".