135511320331200 has 504 divisors, whose sum is σ = 488754669417840. Its totient is φ = 32846319616000.

The previous prime is 135511320331199. The next prime is 135511320331217. The reversal of 135511320331200 is 2133023115531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 5244030280 + ... + 5244056120.

It is an arithmetic number, because the mean of its divisors is an integer number (969751328210).

Almost surely, 2^{135511320331200} is an apocalyptic number.

135511320331200 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 135511320331200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (244377334708920).

135511320331200 is an abundant number, since it is smaller than the sum of its proper divisors (353243349086640).

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

135511320331200 is a wasteful number, since it uses less digits than its factorization.

135511320331200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34917 (or 34891 counting only the distinct ones).

The product of its (nonzero) digits is 8100, while the sum is 30.

Adding to 135511320331200 its reverse (2133023115531), we get a palindrome (137644343446731).

The spelling of 135511320331200 in words is "one hundred thirty-five trillion, five hundred eleven billion, three hundred twenty million, three hundred thirty-one thousand, two hundred".