135414414531 has 24 divisors (see below), whose sum is σ = 224610834240. Its totient is φ = 77749902000.

The previous prime is 135414414523. The next prime is 135414414587.

135414414531 is a `hidden beast` number, since 1 + 3 + 541 + 4 + 41 + 45 + 31 = 666.

135414414531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135414414531 - 2³ = 135414414523 is a prime.

It is a super-2 number, since 2×135414414531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135414414431) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 35993445 + ... + 35997206.

It is an arithmetic number, because the mean of its divisors is an integer number (9358784760).

Almost surely, 2^135414414531 is an apocalyptic number.

135414414531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135414414531 is a deficient number, since it is larger than the sum of its proper divisors (89196419709).

135414414531 is a wasteful number, since it uses less digits than its factorization.

135414414531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71990687 (or 71990684 counting only the distinct ones).

The product of its digits is 57600, while the sum is 36.

It can be divided in two parts, 135414 and 414531, that added together give a palindrome (549945).

The spelling of 135414414531 in words is "one hundred thirty-five billion, four hundred fourteen million, four hundred fourteen thousand, five hundred thirty-one".