147129313 has 2 divisors, whose sum is σ = 147129314. Its totient is φ = 147129312.

The previous prime is 147129287. The next prime is 147129349. The reversal of 147129313 is 313921741.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 116791249 + 30338064 = 10807^2 + 5508^2 .

It is a cyclic number.

It is not a de Polignac number, because 147129313 - 2⁹ = 147128801 is a prime.

It is not a weakly prime, because it can be changed into another prime (147129013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 73564656 + 73564657.

It is an arithmetic number, because the mean of its divisors is an integer number (73564657).

Almost surely, 2^147129313 is an apocalyptic number.

It is an amenable number.

147129313 is a deficient number, since it is larger than the sum of its proper divisors (1).

147129313 is an equidigital number, since it uses as much as digits as its factorization.

147129313 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 4536, while the sum is 31.

The square root of 147129313 is about 12129.6872589527. The cubic root of 147129313 is about 527.9179177288.

It can be divided in two parts, 14712 and 9313, that added together give a square (24025 = 155²).

The spelling of 147129313 in words is "one hundred forty-seven million, one hundred twenty-nine thousand, three hundred thirteen".