135216612531 has 96 divisors (see below), whose sum is σ = 263792954880. Its totient is φ = 64838404800.

The previous prime is 135216612527. The next prime is 135216612547.

135216612531 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 1 + 6 + 612 + 5 + 31 = 666.

135216612531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135216612531 - 2² = 135216612527 is a prime.

It is a super-2 number, since 2×135216612531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135216612571) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1478116 + ... + 1566926.

It is an arithmetic number, because the mean of its divisors is an integer number (2747843280).

Almost surely, 2^135216612531 is an apocalyptic number.

135216612531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135216612531 is a deficient number, since it is larger than the sum of its proper divisors (128576342349).

135216612531 is a wasteful number, since it uses less digits than its factorization.

135216612531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 88874 (or 88845 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

It can be divided in two parts, 135216 and 612531, that added together give a palindrome (747747).

The spelling of 135216612531 in words is "one hundred thirty-five billion, two hundred sixteen million, six hundred twelve thousand, five hundred thirty-one".