135061984512 has 864 divisors, whose sum is σ = 499693049856. Its totient is φ = 34139750400.

The previous prime is 135061984457. The next prime is 135061984517. The reversal of 135061984512 is 215489160531.

It is a happy number.

135061984512 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 198 + 451 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135061984517) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 640104087 + ... + 640104297.

Almost surely, 2^135061984512 is an apocalyptic number.

135061984512 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 135061984512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249846524928).

135061984512 is an abundant number, since it is smaller than the sum of its proper divisors (364631065344).

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

135061984512 is a wasteful number, since it uses less digits than its factorization.

135061984512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 367 (or 350 counting only the distinct ones).

The product of its (nonzero) digits is 259200, while the sum is 45.

The spelling of 135061984512 in words is "one hundred thirty-five billion, sixty-one million, nine hundred eighty-four thousand, five hundred twelve".