135657756531 has 64 divisors (see below), whose sum is σ = 224087040000. Its totient is φ = 80415102240.

The previous prime is 135657756469. The next prime is 135657756539.

135657756531 is a `hidden beast` number, since 1 + 3 + 5 + 6 + 5 + 77 + 565 + 3 + 1 = 666.

135657756531 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 135657756531 - 2¹¹ = 135657754483 is a prime.

It is a super-2 number, since 2×135657756531² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (135657756539) 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 63 ways as a sum of consecutive naturals, for example, 3467626 + ... + 3506528.

It is an arithmetic number, because the mean of its divisors is an integer number (3501360000).

Almost surely, 2^135657756531 is an apocalyptic number.

135657756531 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135657756531 is a deficient number, since it is larger than the sum of its proper divisors (88429283469).

135657756531 is a wasteful number, since it uses less digits than its factorization.

135657756531 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39181 (or 39175 counting only the distinct ones).

The product of its digits is 9922500, while the sum is 54.

The spelling of 135657756531 in words is "one hundred thirty-five billion, six hundred fifty-seven million, seven hundred fifty-six thousand, five hundred thirty-one".