73141414137 has 30 divisors (see below), whose sum is σ = 116213068010. Its totient is φ = 44328049920.

The previous prime is 73141414127. The next prime is 73141414163.

73141414137 is a `hidden beast` number, since 73 + 1 + 41 + 414 + 137 = 666.

73141414137 is nontrivially palindromic in base 10.

It can be written as a sum of positive squares in only one way, i.e., 48550156281 + 24591257856 = 220341^2 + 156816^2 .

It is not a de Polignac number, because 73141414137 - 2¹⁹ = 73140889849 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (73141414127) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 29 ways as a sum of consecutive naturals, for example, 145768 + ... + 409305.

Almost surely, 2^73141414137 is an apocalyptic number.

It is an amenable number.

73141414137 is a deficient number, since it is larger than the sum of its proper divisors (43071653873).

73141414137 is an equidigital number, since it uses as much as digits as its factorization.

73141414137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 555123 (or 555087 counting only the distinct ones).

The product of its digits is 28224, while the sum is 36.

The spelling of 73141414137 in words is "seventy-three billion, one hundred forty-one million, four hundred fourteen thousand, one hundred thirty-seven".