151686208161 has 12 divisors (see below), whose sum is σ = 219414866580. Its totient is φ = 100979877600.

The previous prime is 151686208151. The next prime is 151686208171. The reversal of 151686208161 is 161802686151.

151686208161 is a `hidden beast` number, since 1 + 5 + 1 + 6 + 8 + 620 + 8 + 16 + 1 = 666.

It is an interprime number because it is at equal distance from previous prime (151686208151) and next prime (151686208171).

It can be written as a sum of positive squares in 2 ways, for example, as 144879958161 + 6806250000 = 380631^2 + 82500^2 .

It is not a de Polignac number, because 151686208161 - 2¹⁹ = 151685683873 is a prime.

It is a Smith number, since the sum of its digits (45) coincides with the sum of the digits of its prime factors.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (151686208111) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12015106 + ... + 12027723.

It is an arithmetic number, because the mean of its divisors is an integer number (18284572215).

Almost surely, 2^151686208161 is an apocalyptic number.

It is an amenable number.

151686208161 is a deficient number, since it is larger than the sum of its proper divisors (67728658419).

151686208161 is a wasteful number, since it uses less digits than its factorization.

151686208161 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24043536 (or 24043533 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 45.

The spelling of 151686208161 in words is "one hundred fifty-one billion, six hundred eighty-six million, two hundred eight thousand, one hundred sixty-one".