135534053160 has 768 divisors, whose sum is σ = 525051072000. Its totient is φ = 30031626240.

The previous prime is 135534053159. The next prime is 135534053177. The reversal of 135534053160 is 61350435531.

135534053160 is a `hidden beast` number, since 1 + 3 + 553 + 40 + 5 + 3 + 1 + 60 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1397258232 + ... + 1397258328.

It is an arithmetic number, because the mean of its divisors is an integer number (683660250).

Almost surely, 2^135534053160 is an apocalyptic number.

135534053160 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 135534053160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (262525536000).

135534053160 is an abundant number, since it is smaller than the sum of its proper divisors (389517018840).

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

135534053160 is a wasteful number, since it uses less digits than its factorization.

135534053160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 223 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 81000, while the sum is 36.

Adding to 135534053160 its reverse (61350435531), we get a palindrome (196884488691).

The spelling of 135534053160 in words is "one hundred thirty-five billion, five hundred thirty-four million, fifty-three thousand, one hundred sixty".