152137129 has 2 divisors, whose sum is σ = 152137130. Its totient is φ = 152137128.

The previous prime is 152137099. The next prime is 152137133. The reversal of 152137129 is 921731251.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 149817600 + 2319529 = 12240^2 + 1523^2 .

It is a cyclic number.

It is not a de Polignac number, because 152137129 - 2²⁷ = 17919401 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 152137129.

It is not a weakly prime, because it can be changed into another prime (152137159) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 76068564 + 76068565.

It is an arithmetic number, because the mean of its divisors is an integer number (76068565).

Almost surely, 2^152137129 is an apocalyptic number.

It is an amenable number.

152137129 is a deficient number, since it is larger than the sum of its proper divisors (1).

152137129 is an equidigital number, since it uses as much as digits as its factorization.

152137129 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 3780, while the sum is 31.

The square root of 152137129 is about 12334.3880675127. The cubic root of 152137129 is about 533.8407706506.

The spelling of 152137129 in words is "one hundred fifty-two million, one hundred thirty-seven thousand, one hundred twenty-nine".