135656643408 has 240 divisors, whose sum is σ = 414659085120. Its totient is φ = 37883289600.

The previous prime is 135656643341. The next prime is 135656643427. The reversal of 135656643408 is 804346656531.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 91105128 + ... + 91106616.

It is an arithmetic number, because the mean of its divisors is an integer number (1727746188).

Almost surely, 2^135656643408 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135656643408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207329542560).

135656643408 is an abundant number, since it is smaller than the sum of its proper divisors (279002441712).

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

135656643408 is a wasteful number, since it uses less digits than its factorization.

135656643408 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2558 (or 2539 counting only the distinct ones).

The product of its (nonzero) digits is 6220800, while the sum is 51.

The spelling of 135656643408 in words is "one hundred thirty-five billion, six hundred fifty-six million, six hundred forty-three thousand, four hundred eight".