135511542053550 has 288 divisors, whose sum is σ = 405630778906080. Its totient is φ = 32204017843200.

The previous prime is 135511542053509. The next prime is 135511542053597. The reversal of 135511542053550 is 55350245115531.

135511542053550 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 1 + 1 + 5 + 42 + 0 + 53 + 550 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a junction number, because it is equal to n+sod(n) for n = 135511542053496 and 135511542053505.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3304252545 + ... + 3304293555.

It is an arithmetic number, because the mean of its divisors is an integer number (1408440204535).

Almost surely, 2^{135511542053550} is an apocalyptic number.

135511542053550 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135511542053550, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202815389453040).

135511542053550 is an abundant number, since it is smaller than the sum of its proper divisors (270119236852530).

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

135511542053550 is a wasteful number, since it uses less digits than its factorization.

135511542053550 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 60548 (or 60540 counting only the distinct ones).

The product of its (nonzero) digits is 1125000, while the sum is 45.

The spelling of 135511542053550 in words is "one hundred thirty-five trillion, five hundred eleven billion, five hundred forty-two million, fifty-three thousand, five hundred fifty".