135434442544520 has 256 divisors, whose sum is σ = 350594857267200. Its totient is φ = 46124691563520.

The previous prime is 135434442544507. The next prime is 135434442544553. The reversal of 135434442544520 is 25445244434531.

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, 40176338435 + ... + 40176341805.

It is an arithmetic number, because the mean of its divisors is an integer number (1369511161200).

Almost surely, 2^{135434442544520} is an apocalyptic number.

135434442544520 is a gapful number since it is divisible by the number (10) 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 135434442544520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175297428633600).

135434442544520 is an abundant number, since it is smaller than the sum of its proper divisors (215160414722680).

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

135434442544520 is a wasteful number, since it uses less digits than its factorization.

135434442544520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5188 (or 5184 counting only the distinct ones).

The product of its (nonzero) digits is 18432000, while the sum is 50.

The spelling of 135434442544520 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, four hundred forty-two million, five hundred forty-four thousand, five hundred twenty".