137100517 has 2 divisors, whose sum is σ = 137100518. Its totient is φ = 137100516.

The previous prime is 137100511. The next prime is 137100521. The reversal of 137100517 is 715001731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 102596641 + 34503876 = 10129^2 + 5874^2 .

It is a cyclic number.

It is not a de Polignac number, because 137100517 - 2⁷ = 137100389 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137100491 and 137100500.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137100511) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68550258 + 68550259.

It is an arithmetic number, because the mean of its divisors is an integer number (68550259).

Almost surely, 2^137100517 is an apocalyptic number.

It is an amenable number.

137100517 is a deficient number, since it is larger than the sum of its proper divisors (1).

137100517 is an equidigital number, since it uses as much as digits as its factorization.

137100517 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 735, while the sum is 25.

The square root of 137100517 is about 11708.9929968379. The cubic root of 137100517 is about 515.6397203119.

The spelling of 137100517 in words is "one hundred thirty-seven million, one hundred thousand, five hundred seventeen".