135354434520 has 256 divisors, whose sum is σ = 442779903360. Its totient is φ = 32962609152.

The previous prime is 135354434519. The next prime is 135354434531. The reversal of 135354434520 is 25434453531.

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, 29963302 + ... + 29967818.

Almost surely, 2^135354434520 is an apocalyptic number.

135354434520 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 135354434520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (221389951680).

135354434520 is an abundant number, since it is smaller than the sum of its proper divisors (307425468840).

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

135354434520 is a wasteful number, since it uses less digits than its factorization.

135354434520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4982 (or 4978 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 39.

The spelling of 135354434520 in words is "one hundred thirty-five billion, three hundred fifty-four million, four hundred thirty-four thousand, five hundred twenty".