135679013344 has 144 divisors (see below), whose sum is σ = 332709884640. Its totient is φ = 54111805440.

The previous prime is 135679013341. The next prime is 135679013369. The reversal of 135679013344 is 443310976531.

It is a junction number, because it is equal to n+sod(n) for n = 135679013294 and 135679013303.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135679013341) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2343789 + ... + 2400979.

It is an arithmetic number, because the mean of its divisors is an integer number (2310485310).

Almost surely, 2^135679013344 is an apocalyptic number.

135679013344 is a gapful number since it is divisible by the number (14) 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 135679013344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166354942320).

135679013344 is an abundant number, since it is smaller than the sum of its proper divisors (197030871296).

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

135679013344 is a wasteful number, since it uses less digits than its factorization.

135679013344 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57321 (or 57306 counting only the distinct ones).

The product of its (nonzero) digits is 816480, while the sum is 46.

Adding to 135679013344 its reverse (443310976531), we get a palindrome (578989989875).

The spelling of 135679013344 in words is "one hundred thirty-five billion, six hundred seventy-nine million, thirteen thousand, three hundred forty-four".