135736570667071 has 16 divisors (see below), whose sum is σ = 155877179639040. Its totient is φ = 116896734601920.

The previous prime is 135736570667003. The next prime is 135736570667119. The reversal of 135736570667071 is 170766075637531.

It is a cyclic number.

It is not a de Polignac number, because 135736570667071 - 2⁴¹ = 133537547411519 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 135736570666994 and 135736570667012.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135736570667471) 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, 11090350 + ... + 19861243.

It is an arithmetic number, because the mean of its divisors is an integer number (9742323727440).

Almost surely, 2^{135736570667071} is an apocalyptic number.

135736570667071 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

135736570667071 is a deficient number, since it is larger than the sum of its proper divisors (20140608971969).

135736570667071 is a wasteful number, since it uses less digits than its factorization.

135736570667071 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30972606.

The product of its (nonzero) digits is 116688600, while the sum is 64.

The spelling of 135736570667071 in words is "one hundred thirty-five trillion, seven hundred thirty-six billion, five hundred seventy million, six hundred sixty-seven thousand, seventy-one".