135385305721344 has 240 divisors, whose sum is σ = 463088784045888. Its totient is φ = 38681515671552.

The previous prime is 135385305721343. The next prime is 135385305721363. The reversal of 135385305721344 is 443127503583531.

It is a happy number.

135385305721344 is a `hidden beast` number, since 1 + 3 + 5 + 3 + 8 + 5 + 30 + 572 + 1 + 34 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (135385305721343) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 76855257 + ... + 78597080.

Almost surely, 2^{135385305721344} is an apocalyptic number.

135385305721344 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

135385305721344 is an abundant number, since it is smaller than the sum of its proper divisors (327703478324544).

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

135385305721344 is an frugal number, since it uses more digits than its factorization.

135385305721344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 155452377 (or 155452349 counting only the distinct ones).

The product of its (nonzero) digits is 18144000, while the sum is 54.

The spelling of 135385305721344 in words is "one hundred thirty-five trillion, three hundred eighty-five billion, three hundred five million, seven hundred twenty-one thousand, three hundred forty-four".