135966372931584 has 1728 divisors, whose sum is σ = 493557749193600. Its totient is φ = 35672725389312.

The previous prime is 135966372931523. The next prime is 135966372931673. The reversal of 135966372931584 is 485139273669531.

It is a happy number.

135966372931584 is a `hidden beast` number, since 1 + 3 + 5 + 9 + 6 + 6 + 3 + 7 + 2 + 9 + 31 + 584 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 30261821242 + ... + 30261825734.

It is an arithmetic number, because the mean of its divisors is an integer number (285623697450).

Almost surely, 2^{135966372931584} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135966372931584, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246778874596800).

135966372931584 is an abundant number, since it is smaller than the sum of its proper divisors (357591376262016).

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

135966372931584 is a wasteful number, since it uses less digits than its factorization.

135966372931584 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4610 (or 4570 counting only the distinct ones).

The product of its digits is 881798400, while the sum is 72.

The spelling of 135966372931584 in words is "one hundred thirty-five trillion, nine hundred sixty-six billion, three hundred seventy-two million, nine hundred thirty-one thousand, five hundred eighty-four".