135969394176 has 1280 divisors, whose sum is σ = 541165363200. Its totient is φ = 33054842880.

The previous prime is 135969394139. The next prime is 135969394189. The reversal of 135969394176 is 671493969531.

135969394176 is a `hidden beast` number, since 1 + 3 + 596 + 9 + 39 + 4 + 1 + 7 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1638185431 + ... + 1638185513.

It is an arithmetic number, because the mean of its divisors is an integer number (422785440).

Almost surely, 2^135969394176 is an apocalyptic number.

135969394176 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 135969394176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (270582681600).

135969394176 is an abundant number, since it is smaller than the sum of its proper divisors (405195969024).

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

135969394176 is an frugal number, since it uses more digits than its factorization.

135969394176 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 159 (or 125 counting only the distinct ones).

The product of its digits is 33067440, while the sum is 63.

The spelling of 135969394176 in words is "one hundred thirty-five billion, nine hundred sixty-nine million, three hundred ninety-four thousand, one hundred seventy-six".