135049052160 has 816 divisors, whose sum is σ = 535876967808. Its totient is φ = 31142707200.

The previous prime is 135049052087. The next prime is 135049052189. The reversal of 135049052160 is 61250940531.

135049052160 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 490 + 5 + 2 + 160 = 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 (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 746127270 + ... + 746127450.

Almost surely, 2^135049052160 is an apocalyptic number.

135049052160 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 135049052160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267938483904).

135049052160 is an abundant number, since it is smaller than the sum of its proper divisors (400827915648).

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

135049052160 is a wasteful number, since it uses less digits than its factorization.

135049052160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 225 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

Adding to 135049052160 its reverse (61250940531), we get a palindrome (196299992691).

The spelling of 135049052160 in words is "one hundred thirty-five billion, forty-nine million, fifty-two thousand, one hundred sixty".