137263129 has 2 divisors, whose sum is σ = 137263130. Its totient is φ = 137263128.

The previous prime is 137263127. The next prime is 137263153. The reversal of 137263129 is 921362731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 137241225 + 21904 = 11715^2 + 148^2 .

It is a cyclic number.

It is not a de Polignac number, because 137263129 - 2¹ = 137263127 is a prime.

Together with 137263127, it forms a pair of twin primes.

It is a junction number, because it is equal to n+sod(n) for n = 137263094 and 137263103.

It is not a weakly prime, because it can be changed into another prime (137263127) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68631564 + 68631565.

It is an arithmetic number, because the mean of its divisors is an integer number (68631565).

Almost surely, 2^137263129 is an apocalyptic number.

It is an amenable number.

137263129 is a deficient number, since it is larger than the sum of its proper divisors (1).

137263129 is an equidigital number, since it uses as much as digits as its factorization.

137263129 is an evil number, because the sum of its binary digits is even.

The product of its digits is 13608, while the sum is 34.

The square root of 137263129 is about 11715.9348325262. The cubic root of 137263129 is about 515.8435028584.

The spelling of 137263129 in words is "one hundred thirty-seven million, two hundred sixty-three thousand, one hundred twenty-nine".