135054450531 has 192 divisors, whose sum is σ = 280220967936. Its totient is φ = 60316876800.

The previous prime is 135054450527. The next prime is 135054450571.

135054450531 is a `hidden beast` number, since 1 + 35 + 0 + 5 + 44 + 50 + 531 = 666.

135054450531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135054450531 - 2² = 135054450527 is a prime.

It is a super-2 number, since 2×135054450531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135054450571) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 14851296 + ... + 14860386.

It is an arithmetic number, because the mean of its divisors is an integer number (1459484208).

Almost surely, 2^135054450531 is an apocalyptic number.

135054450531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135054450531 is an abundant number, since it is smaller than the sum of its proper divisors (145166517405).

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

135054450531 is a wasteful number, since it uses less digits than its factorization.

135054450531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9242 (or 9239 counting only the distinct ones).

The product of its (nonzero) digits is 90000, while the sum is 36.

It can be divided in two parts, 135054 and 450531, that added together give a palindrome (585585).

The spelling of 135054450531 in words is "one hundred thirty-five billion, fifty-four million, four hundred fifty thousand, five hundred thirty-one".