135203161302531 has 48 divisors (see below), whose sum is σ = 242708559447744. Its totient is φ = 70749053724672.

The previous prime is 135203161302491. The next prime is 135203161302581.

135203161302531 is a `hidden beast` number, since 1 + 3 + 5 + 2 + 0 + 3 + 1 + 613 + 0 + 2 + 5 + 31 = 666.

135203161302531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135203161302531 - 2⁷ = 135203161302403 is a prime.

It is a super-2 number, since 2×135203161302531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135203161302581) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1705907850 + ... + 1705987103.

It is an arithmetic number, because the mean of its divisors is an integer number (5056428321828).

Almost surely, 2^{135203161302531} is an apocalyptic number.

135203161302531 is a deficient number, since it is larger than the sum of its proper divisors (107505398145213).

135203161302531 is a wasteful number, since it uses less digits than its factorization.

135203161302531 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3411895020 (or 3411895017 counting only the distinct ones).

The product of its (nonzero) digits is 48600, while the sum is 36.

The spelling of 135203161302531 in words is "one hundred thirty-five trillion, two hundred three billion, one hundred sixty-one million, three hundred two thousand, five hundred thirty-one".