135053106552 has 216 divisors, whose sum is σ = 460735601040. Its totient is φ = 35618244480.

The previous prime is 135053106547. The next prime is 135053106583. The reversal of 135053106552 is 255601350531.

135053106552 is a `hidden beast` number, since 1 + 3 + 50 + 53 + 1 + 0 + 6 + 552 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 482977 + ... + 709487.

It is an arithmetic number, because the mean of its divisors is an integer number (2133035190).

Almost surely, 2^135053106552 is an apocalyptic number.

135053106552 is a gapful number since it is divisible by the number (12) 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 135053106552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230367800520).

135053106552 is an abundant number, since it is smaller than the sum of its proper divisors (325682494488).

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

135053106552 is a wasteful number, since it uses less digits than its factorization.

135053106552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 226563 (or 226536 counting only the distinct ones).

The product of its (nonzero) digits is 67500, while the sum is 36.

The spelling of 135053106552 in words is "one hundred thirty-five billion, fifty-three million, one hundred six thousand, five hundred fifty-two".