125205137 has 2 divisors, whose sum is σ = 125205138. Its totient is φ = 125205136.

The previous prime is 125205127. The next prime is 125205167. The reversal of 125205137 is 731502521.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 120978001 + 4227136 = 10999^2 + 2056^2 .

It is a cyclic number.

It is not a de Polignac number, because 125205137 - 2¹⁴ = 125188753 is a prime.

It is not a weakly prime, because it can be changed into another prime (125205127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 62602568 + 62602569.

It is an arithmetic number, because the mean of its divisors is an integer number (62602569).

Almost surely, 2^125205137 is an apocalyptic number.

It is an amenable number.

125205137 is a deficient number, since it is larger than the sum of its proper divisors (1).

125205137 is an equidigital number, since it uses as much as digits as its factorization.

125205137 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 2100, while the sum is 26.

The square root of 125205137 is about 11189.5101322623. The cubic root of 125205137 is about 500.2733665143.

Adding to 125205137 its reverse (731502521), we get a palindrome (856707658).

The spelling of 125205137 in words is "one hundred twenty-five million, two hundred five thousand, one hundred thirty-seven".