135757440002688 has 128 divisors (see below), whose sum is σ = 436363200155520. Its totient is φ = 36506202341376.

The previous prime is 135757440002687. The next prime is 135757440002719. The reversal of 135757440002688 is 886200044757531.

It is a tau number, because it is divible by the number of its divisors (128).

It is not an unprimeable number, because it can be changed into a prime (135757440002687) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1485395481 + ... + 1485486872.

It is an arithmetic number, because the mean of its divisors is an integer number (3409087501215).

Almost surely, 2^{135757440002688} is an apocalyptic number.

It is an amenable number.

135757440002688 is an abundant number, since it is smaller than the sum of its proper divisors (300605760152832).

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

135757440002688 is a wasteful number, since it uses less digits than its factorization.

135757440002688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2970882394 (or 2970882382 counting only the distinct ones).

The product of its (nonzero) digits is 45158400, while the sum is 60.

The spelling of 135757440002688 in words is "one hundred thirty-five trillion, seven hundred fifty-seven billion, four hundred forty million, two thousand, six hundred eighty-eight".