137147333 has 2 divisors, whose sum is σ = 137147334. Its totient is φ = 137147332.

The previous prime is 137147327. The next prime is 137147369. The reversal of 137147333 is 333741731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 79887844 + 57259489 = 8938^2 + 7567^2 .

It is an emirp because it is prime and its reverse (333741731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137147333 - 2²⁶ = 70038469 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137147333.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137147383) 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, 68573666 + 68573667.

It is an arithmetic number, because the mean of its divisors is an integer number (68573667).

Almost surely, 2^137147333 is an apocalyptic number.

It is an amenable number.

137147333 is a deficient number, since it is larger than the sum of its proper divisors (1).

137147333 is an equidigital number, since it uses as much as digits as its factorization.

137147333 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 15876, while the sum is 32.

The square root of 137147333 is about 11710.9919733556. The cubic root of 137147333 is about 515.6984058235.

The spelling of 137147333 in words is "one hundred thirty-seven million, one hundred forty-seven thousand, three hundred thirty-three".