135967020843456 has 504 divisors, whose sum is σ = 439025747946240. Its totient is φ = 40190319037440.

The previous prime is 135967020843449. The next prime is 135967020843481. The reversal of 135967020843456 is 654348020769531.

135967020843456 is a `hidden beast` number, since 1 + 3 + 5 + 96 + 70 + 20 + 8 + 4 + 3 + 456 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 135967020843393 and 135967020843402.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 456847911 + ... + 457145433.

It is a 1-persistent number, because it is pandigital, but 2⋅135967020843456 = 271934041686912 is not.

Almost surely, 2^{135967020843456} is an apocalyptic number.

135967020843456 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 135967020843456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219512873973120).

135967020843456 is an abundant number, since it is smaller than the sum of its proper divisors (303058727102784).

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

135967020843456 is a wasteful number, since it uses less digits than its factorization.

135967020843456 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 297725 (or 297701 counting only the distinct ones).

The product of its (nonzero) digits is 130636800, while the sum is 63.

The spelling of 135967020843456 in words is "one hundred thirty-five trillion, nine hundred sixty-seven billion, twenty million, eight hundred forty-three thousand, four hundred fifty-six".