135541300233320 has 256 divisors, whose sum is σ = 324161268710400. Its totient is φ = 50917730734080.

The previous prime is 135541300233301. The next prime is 135541300233503. The reversal of 135541300233320 is 23332003145531.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 13857606830 + ... + 13857616610.

It is an arithmetic number, because the mean of its divisors is an integer number (1266254955900).

Almost surely, 2^{135541300233320} is an apocalyptic number.

135541300233320 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 135541300233320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (162080634355200).

135541300233320 is an abundant number, since it is smaller than the sum of its proper divisors (188619968477080).

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

135541300233320 is a wasteful number, since it uses less digits than its factorization.

135541300233320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10988 (or 10984 counting only the distinct ones).

The product of its (nonzero) digits is 97200, while the sum is 35.

Adding to 135541300233320 its reverse (23332003145531), we get a palindrome (158873303378851).

The spelling of 135541300233320 in words is "one hundred thirty-five trillion, five hundred forty-one billion, three hundred million, two hundred thirty-three thousand, three hundred twenty".