135024420531 has 192 divisors, whose sum is σ = 266016683520. Its totient is φ = 59674890240.

The previous prime is 135024420523. The next prime is 135024420571.

135024420531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135024420531 - 2³ = 135024420523 is a prime.

It is a super-2 number, since 2×135024420531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135024420571) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14773195 + ... + 14782331.

It is an arithmetic number, because the mean of its divisors is an integer number (1385503560).

Almost surely, 2^135024420531 is an apocalyptic number.

135024420531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135024420531 is a deficient number, since it is larger than the sum of its proper divisors (130992262989).

135024420531 is a wasteful number, since it uses less digits than its factorization.

135024420531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9234 (or 9227 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

It can be divided in two parts, 135024 and 420531, that added together give a palindrome (555555).

The spelling of 135024420531 in words is "one hundred thirty-five billion, twenty-four million, four hundred twenty thousand, five hundred thirty-one".