135712315103661 has 24 divisors (see below), whose sum is σ = 200773252233216. Its totient is φ = 88303050632160.

The previous prime is 135712315103641. The next prime is 135712315103681. The reversal of 135712315103661 is 166301513217531.

135712315103661 is a `hidden beast` number, since 1 + 3 + 5 + 7 + 1 + 231 + 51 + 0 + 366 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (135712315103641) and next prime (135712315103681).

It is not a de Polignac number, because 135712315103661 - 2³⁸ = 135437437196717 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135712315103641) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 744705205 + ... + 744887418.

It is an arithmetic number, because the mean of its divisors is an integer number (8365552176384).

Almost surely, 2^{135712315103661} is an apocalyptic number.

It is an amenable number.

135712315103661 is a deficient number, since it is larger than the sum of its proper divisors (65060937129555).

135712315103661 is a wasteful number, since it uses less digits than its factorization.

135712315103661 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1489592873 (or 1489592870 counting only the distinct ones).

The product of its (nonzero) digits is 340200, while the sum is 45.

The spelling of 135712315103661 in words is "one hundred thirty-five trillion, seven hundred twelve billion, three hundred fifteen million, one hundred three thousand, six hundred sixty-one".