135776780496 has 400 divisors, whose sum is σ = 460690553600. Its totient is φ = 38279195136.

The previous prime is 135776780483. The next prime is 135776780507. The reversal of 135776780496 is 694087677531.

135776780496 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 7 + 67 + 80 + 496 = 666.

135776780496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 81940500 + ... + 81942156.

It is an arithmetic number, because the mean of its divisors is an integer number (1151726384).

Almost surely, 2^135776780496 is an apocalyptic number.

135776780496 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 135776780496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (230345276800).

135776780496 is an abundant number, since it is smaller than the sum of its proper divisors (324913773104).

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

135776780496 is an equidigital number, since it uses as much as digits as its factorization.

135776780496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1781 (or 1748 counting only the distinct ones).

The product of its (nonzero) digits is 53343360, while the sum is 63.

The spelling of 135776780496 in words is "one hundred thirty-five billion, seven hundred seventy-six million, seven hundred eighty thousand, four hundred ninety-six".