135782798256 has 320 divisors, whose sum is σ = 449677885440. Its totient is φ = 38426814720.

The previous prime is 135782798237. The next prime is 135782798399. The reversal of 135782798256 is 652897287531.

135782798256 is a `hidden beast` number, since 1 + 3 + 578 + 2 + 7 + 9 + 8 + 2 + 56 = 666.

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

It is a junction number, because it is equal to n+sod(n) for n = 135782798193 and 135782798202.

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 63 ways as a sum of consecutive naturals, for example, 182749021 + ... + 182749763.

It is an arithmetic number, because the mean of its divisors is an integer number (1405243392).

Almost surely, 2^135782798256 is an apocalyptic number.

135782798256 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 135782798256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224838942720).

135782798256 is an abundant number, since it is smaller than the sum of its proper divisors (313895087184).

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

135782798256 is a wasteful number, since it uses less digits than its factorization.

135782798256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1261 (or 1249 counting only the distinct ones).

The product of its digits is 50803200, while the sum is 63.

The spelling of 135782798256 in words is "one hundred thirty-five billion, seven hundred eighty-two million, seven hundred ninety-eight thousand, two hundred fifty-six".