135757440005688 has 192 divisors, whose sum is σ = 414309321753600. Its totient is φ = 41487842096640.

The previous prime is 135757440005687. The next prime is 135757440005813. The reversal of 135757440005688 is 886500044757531.

It is a happy number.

135757440005688 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 574 + 4 + 0 + 0 + 0 + 56 + 8 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135757440005687) 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, 58136881 + ... + 60426912.

It is an arithmetic number, because the mean of its divisors is an integer number (2157861050800).

Almost surely, 2^{135757440005688} is an apocalyptic number.

135757440005688 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

135757440005688 is an abundant number, since it is smaller than the sum of its proper divisors (278551881747912).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

135757440005688 is a wasteful number, since it uses less digits than its factorization.

135757440005688 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118563864 (or 118563848 counting only the distinct ones).

The product of its (nonzero) digits is 112896000, while the sum is 63.

The spelling of 135757440005688 in words is "one hundred thirty-five trillion, seven hundred fifty-seven billion, four hundred forty million, five thousand, six hundred eighty-eight".