135531424231434 has 512 divisors, whose sum is σ = 412934912409600. Its totient is φ = 31862409765120.

The previous prime is 135531424231433. The next prime is 135531424231447. The reversal of 135531424231434 is 434132424135531.

135531424231434 is a `hidden beast` number, since 1 + 3 + 5 + 5 + 3 + 142 + 42 + 31 + 434 = 666.

135531424231434 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 135531424231434.

It is not an unprimeable number, because it can be changed into a prime (135531424231433) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 1549896517 + ... + 1549983959.

It is an arithmetic number, because the mean of its divisors is an integer number (806513500800).

Almost surely, 2^{135531424231434} is an apocalyptic number.

135531424231434 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135531424231434, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206467456204800).

135531424231434 is an abundant number, since it is smaller than the sum of its proper divisors (277403488178166).

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

135531424231434 is a wasteful number, since it uses less digits than its factorization.

135531424231434 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88367 (or 88361 counting only the distinct ones).

The product of its digits is 2073600, while the sum is 45.

Adding to 135531424231434 its reverse (434132424135531), we get a palindrome (569663848366965).

The spelling of 135531424231434 in words is "one hundred thirty-five trillion, five hundred thirty-one billion, four hundred twenty-four million, two hundred thirty-one thousand, four hundred thirty-four".