135082839936 has 256 divisors, whose sum is σ = 418355953920. Its totient is φ = 38164070400.

The previous prime is 135082839929. The next prime is 135082839967. The reversal of 135082839936 is 639938280531.

It is a happy number.

It is a Smith number, since the sum of its digits (57) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7674666 + ... + 7692246.

It is an arithmetic number, because the mean of its divisors is an integer number (1634202945).

Almost surely, 2^135082839936 is an apocalyptic number.

135082839936 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 135082839936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (209177976960).

135082839936 is an abundant number, since it is smaller than the sum of its proper divisors (283273113984).

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

135082839936 is a wasteful number, since it uses less digits than its factorization.

135082839936 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17733 (or 17721 counting only the distinct ones).

The product of its (nonzero) digits is 8398080, while the sum is 57.

The spelling of 135082839936 in words is "one hundred thirty-five billion, eighty-two million, eight hundred thirty-nine thousand, nine hundred thirty-six".