135568626873120 has 864 divisors, whose sum is σ = 558229514851008. Its totient is φ = 30979416287232.

The previous prime is 135568626873109. The next prime is 135568626873139. The reversal of 135568626873120 is 21378626865531.

135568626873120 is a `hidden beast` number, since 1 + 3 + 5 + 56 + 8 + 6 + 268 + 7 + 312 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 11806022899 + ... + 11806034381.

It is an arithmetic number, because the mean of its divisors is an integer number (646098975522).

Almost surely, 2^{135568626873120} is an apocalyptic number.

135568626873120 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 135568626873120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (279114757425504).

135568626873120 is an abundant number, since it is smaller than the sum of its proper divisors (422660887977888).

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

135568626873120 is a wasteful number, since it uses less digits than its factorization.

135568626873120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17724 (or 17697 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 135568626873120 in words is "one hundred thirty-five trillion, five hundred sixty-eight billion, six hundred twenty-six million, eight hundred seventy-three thousand, one hundred twenty".