135939382656 has 512 divisors, whose sum is σ = 475656192000. Its totient is φ = 33365606400.

The previous prime is 135939382639. The next prime is 135939382739. The reversal of 135939382656 is 656283939531.

It is a super-2 number, since 2×135939382656² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135939382656.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 39412420 + ... + 39415868.

It is an arithmetic number, because the mean of its divisors is an integer number (929016000).

Almost surely, 2^135939382656 is an apocalyptic number.

135939382656 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 135939382656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (237828096000).

135939382656 is an abundant number, since it is smaller than the sum of its proper divisors (339716809344).

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

135939382656 is a wasteful number, since it uses less digits than its factorization.

135939382656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3558 (or 3546 counting only the distinct ones).

The product of its digits is 31492800, while the sum is 60.

The spelling of 135939382656 in words is "one hundred thirty-five billion, nine hundred thirty-nine million, three hundred eighty-two thousand, six hundred fifty-six".