185129352137 has 2 divisors, whose sum is σ = 185129352138. Its totient is φ = 185129352136.

The previous prime is 185129352131. The next prime is 185129352139. The reversal of 185129352137 is 731253921581.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 165352836496 + 19776515641 = 406636^2 + 140629^2 .

It is a cyclic number.

It is not a de Polignac number, because 185129352137 - 2¹⁴ = 185129335753 is a prime.

Together with 185129352139, it forms a pair of twin primes.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 185129352091 and 185129352100.

It is not a weakly prime, because it can be changed into another prime (185129352131) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 92564676068 + 92564676069.

It is an arithmetic number, because the mean of its divisors is an integer number (92564676069).

Almost surely, 2^185129352137 is an apocalyptic number.

It is an amenable number.

185129352137 is a deficient number, since it is larger than the sum of its proper divisors (1).

185129352137 is an equidigital number, since it uses as much as digits as its factorization.

185129352137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 453600, while the sum is 47.

The spelling of 185129352137 in words is "one hundred eighty-five billion, one hundred twenty-nine million, three hundred fifty-two thousand, one hundred thirty-seven".