137071337 has 18 divisors (see below), whose sum is σ = 151632702. Its totient is φ = 123849024.

The previous prime is 137071327. The next prime is 137071349. The reversal of 137071337 is 733170731.

It is a happy number.

It can be written as a sum of positive squares in 3 ways, for example, as 3345241 + 133726096 = 1829^2 + 11564^2 .

It is not a de Polignac number, because 137071337 - 2¹² = 137067241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137071327) 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 in 17 ways as a sum of consecutive naturals, for example, 588173 + ... + 588405.

It is an arithmetic number, because the mean of its divisors is an integer number (8424039).

Almost surely, 2^137071337 is an apocalyptic number.

It is an amenable number.

137071337 is a deficient number, since it is larger than the sum of its proper divisors (14561365).

137071337 is an equidigital number, since it uses as much as digits as its factorization.

137071337 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 377 (or 305 counting only the distinct ones).

The product of its (nonzero) digits is 9261, while the sum is 32.

The square root of 137071337 is about 11707.7468797374. The cubic root of 137071337 is about 515.6031353912.

The spelling of 137071337 in words is "one hundred thirty-seven million, seventy-one thousand, three hundred thirty-seven".