135325033300 has 72 divisors (see below), whose sum is σ = 308480256000. Its totient is φ = 51428910720.

The previous prime is 135325033201. The next prime is 135325033313. The reversal of 135325033300 is 3330523531.

It is a happy number.

It is a super-2 number, since 2×135325033300² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 145261 + ... + 540139.

It is an arithmetic number, because the mean of its divisors is an integer number (4284448000).

Almost surely, 2^135325033300 is an apocalyptic number.

135325033300 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 135325033300, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154240128000).

135325033300 is an abundant number, since it is smaller than the sum of its proper divisors (173155222700).

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

135325033300 is a wasteful number, since it uses less digits than its factorization.

135325033300 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 395065 (or 395058 counting only the distinct ones).

The product of its (nonzero) digits is 12150, while the sum is 28.

Adding to 135325033300 its reverse (3330523531), we get a palindrome (138655556831).

The spelling of 135325033300 in words is "one hundred thirty-five billion, three hundred twenty-five million, thirty-three thousand, three hundred".