133706571705 has 72 divisors (see below), whose sum is σ = 272375884872. Its totient is φ = 60492773376.

The previous prime is 133706571703. The next prime is 133706571763. The reversal of 133706571705 is 507175607331.

133706571705 is a `hidden beast` number, since 1 + 3 + 3 + 7 + 0 + 6 + 571 + 70 + 5 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 434847609 + 133271724096 = 20853^2 + 365064^2 .

It is not a de Polignac number, because 133706571705 - 2¹ = 133706571703 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (133706571703) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 98682 + ... + 526451.

It is an arithmetic number, because the mean of its divisors is an integer number (3782998401).

Almost surely, 2^133706571705 is an apocalyptic number.

133706571705 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

133706571705 is an abundant number, since it is smaller than the sum of its proper divisors (138669313167).

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

133706571705 is a wasteful number, since it uses less digits than its factorization.

133706571705 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 625255 (or 625245 counting only the distinct ones).

The product of its (nonzero) digits is 463050, while the sum is 45.

The spelling of 133706571705 in words is "one hundred thirty-three billion, seven hundred six million, five hundred seventy-one thousand, seven hundred five".