135180575712 has 576 divisors, whose sum is σ = 484323840000. Its totient is φ = 34819559424.

The previous prime is 135180575681. The next prime is 135180575749. The reversal of 135180575712 is 217575081531.

135180575712 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 8 + 0 + 575 + 71 + 2 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 225676789 + ... + 225677387.

It is an arithmetic number, because the mean of its divisors is an integer number (840840000).

Almost surely, 2^135180575712 is an apocalyptic number.

135180575712 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 135180575712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242161920000).

135180575712 is an abundant number, since it is smaller than the sum of its proper divisors (349143264288).

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

135180575712 is a wasteful number, since it uses less digits than its factorization.

135180575712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 823 (or 812 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 135180575712 in words is "one hundred thirty-five billion, one hundred eighty million, five hundred seventy-five thousand, seven hundred twelve".