135434181834432 has 504 divisors, whose sum is σ = 445865426875440. Its totient is φ = 39151797534720.

The previous prime is 135434181834409. The next prime is 135434181834437. The reversal of 135434181834432 is 234438181434531.

135434181834432 is a `hidden beast` number, since 1 + 3 + 5 + 4 + 3 + 4 + 18 + 183 + 443 + 2 = 666.

It is not an unprimeable number, because it can be changed into a prime (135434181834437) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 944846544 + ... + 944989872.

Almost surely, 2^{135434181834432} is an apocalyptic number.

135434181834432 is a gapful number since it is divisible by the number (12) 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 135434181834432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222932713437720).

135434181834432 is an abundant number, since it is smaller than the sum of its proper divisors (310431245041008).

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

135434181834432 is a wasteful number, since it uses less digits than its factorization.

135434181834432 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 143961 (or 143935 counting only the distinct ones).

The product of its digits is 13271040, while the sum is 54.

The spelling of 135434181834432 in words is "one hundred thirty-five trillion, four hundred thirty-four billion, one hundred eighty-one million, eight hundred thirty-four thousand, four hundred thirty-two".