2138137 has 2 divisors, whose sum is σ = 2138138. Its totient is φ = 2138136.

The previous prime is 2138093. The next prime is 2138167. The reversal of 2138137 is 7318312.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 1382976 + 755161 = 1176^2 + 869^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-2138137 is a prime.

It is equal to p₁₅₈₄₃₄ and since 2138137 and 158434 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (2138167) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 1069068 + 1069069.

It is an arithmetic number, because the mean of its divisors is an integer number (1069069).

2^2138137 is an apocalyptic number.

It is an amenable number.

2138137 is a deficient number, since it is larger than the sum of its proper divisors (1).

2138137 is an equidigital number, since it uses as much as digits as its factorization.

2138137 is an evil number, because the sum of its binary digits is even.

The product of its digits is 1008, while the sum is 25.

The square root of 2138137 is about 1462.2369848968. The cubic root of 2138137 is about 128.8284682068.

The spelling of 2138137 in words is "two million, one hundred thirty-eight thousand, one hundred thirty-seven".