135279972531 has 96 divisors (see below), whose sum is σ = 239760518400. Its totient is φ = 74501844480.

The previous prime is 135279972523. The next prime is 135279972533.

It is a happy number.

135279972531 is a `hidden beast` number, since 1 + 3 + 527 + 9 + 97 + 25 + 3 + 1 = 666.

135279972531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135279972531 - 2³ = 135279972523 is a prime.

It is a super-2 number, since 2×135279972531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135279972533) 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, 4230280 + ... + 4262138.

It is an arithmetic number, because the mean of its divisors is an integer number (2497505400).

Almost surely, 2^135279972531 is an apocalyptic number.

135279972531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135279972531 is a deficient number, since it is larger than the sum of its proper divisors (104480545869).

135279972531 is a wasteful number, since it uses less digits than its factorization.

135279972531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31954 (or 31919 counting only the distinct ones).

The product of its digits is 3572100, while the sum is 54.

The spelling of 135279972531 in words is "one hundred thirty-five billion, two hundred seventy-nine million, nine hundred seventy-two thousand, five hundred thirty-one".