137168751769 has 27 divisors (see below), whose sum is σ = 161064384093. Its totient is φ = 116477682048.

The previous prime is 137168751761. The next prime is 137168751793. The reversal of 137168751769 is 967157861731.

The square root of 137168751769 is 370363.

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 26239788169 + 110928963600 = 161987^2 + 333060^2 .

It is not a de Polignac number, because 137168751769 - 2³ = 137168751761 is a prime.

It is a super-2 number, since 2×137168751769² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137168751761) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 407028769 + ... + 407029105.

It is an arithmetic number, because the mean of its divisors is an integer number (5965347559).

Almost surely, 2^137168751769 is an apocalyptic number.

137168751769 is the 370363-rd square number.

137168751769 is the 185182-nd centered octagonal number.

It is an amenable number.

137168751769 is a deficient number, since it is larger than the sum of its proper divisors (23895632324).

137168751769 is an frugal number, since it uses more digits than its factorization.

137168751769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 501 counting only the distinct ones).

The product of its digits is 13335840, while the sum is 61.

The spelling of 137168751769 in words is "one hundred thirty-seven billion, one hundred sixty-eight million, seven hundred fifty-one thousand, seven hundred sixty-nine".