135468002712576 has 352 divisors, whose sum is σ = 374459825779200. Its totient is φ = 43512201216000.

The previous prime is 135468002712569. The next prime is 135468002712587. The reversal of 135468002712576 is 675217200864531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3433809651 + ... + 3433849101.

Almost surely, 2^{135468002712576} is an apocalyptic number.

135468002712576 is a gapful number since it is divisible by the number (16) 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 135468002712576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187229912889600).

135468002712576 is an abundant number, since it is smaller than the sum of its proper divisors (238991823066624).

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

135468002712576 is a wasteful number, since it uses less digits than its factorization.

135468002712576 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 39851 (or 39833 counting only the distinct ones).

The product of its (nonzero) digits is 16934400, while the sum is 57.

The spelling of 135468002712576 in words is "one hundred thirty-five trillion, four hundred sixty-eight billion, two million, seven hundred twelve thousand, five hundred seventy-six".