167381629129 has 27 divisors (see below), whose sum is σ = 199292186037. Its totient is φ = 140411013600.

The previous prime is 167381629127. The next prime is 167381629139. The reversal of 167381629129 is 921926183761.

It is a happy number.

The square root of 167381629129 is 409123.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 17730254025 + 149651375104 = 133155^2 + 386848^2 .

It is not a de Polignac number, because 167381629129 - 2¹ = 167381629127 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 167381629129.

It is not an unprimeable number, because it can be changed into a prime (167381629123) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 58503159 + ... + 58506019.

Almost surely, 2^167381629129 is an apocalyptic number.

167381629129 is the 409123-rd square number.

167381629129 is the 204562-nd centered octagonal number.

It is an amenable number.

167381629129 is a deficient number, since it is larger than the sum of its proper divisors (31910556908).

167381629129 is an frugal number, since it uses more digits than its factorization.

167381629129 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5770 (or 2885 counting only the distinct ones).

The product of its digits is 1959552, while the sum is 55.

The spelling of 167381629129 in words is "one hundred sixty-seven billion, three hundred eighty-one million, six hundred twenty-nine thousand, one hundred twenty-nine".