135348525843531 has 96 divisors (see below), whose sum is σ = 246298398205440. Its totient is φ = 64328030807040.

The previous prime is 135348525843497. The next prime is 135348525843623.

It is a happy number.

135348525843531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135348525843531 - 2⁶ = 135348525843467 is a prime.

It is a super-2 number, since 2×135348525843531² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135348525843431) 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 95 ways as a sum of consecutive naturals, for example, 14397241 + ... + 21862698.

It is an arithmetic number, because the mean of its divisors is an integer number (2565608314640).

Almost surely, 2^{135348525843531} is an apocalyptic number.

135348525843531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135348525843531 is a deficient number, since it is larger than the sum of its proper divisors (110949872361909).

135348525843531 is a wasteful number, since it uses less digits than its factorization.

135348525843531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 36260097 (or 36260086 counting only the distinct ones).

The product of its digits is 103680000, while the sum is 60.

The spelling of 135348525843531 in words is "one hundred thirty-five trillion, three hundred forty-eight billion, five hundred twenty-five million, eight hundred forty-three thousand, five hundred thirty-one".