137737007 has 2 divisors, whose sum is σ = 137737008. Its totient is φ = 137737006.

The previous prime is 137737001. The next prime is 137737013. The reversal of 137737007 is 700737731.

It is a balanced prime because it is at equal distance from previous prime (137737001) and next prime (137737013).

It is a cyclic number.

It is not a de Polignac number, because 137737007 - 2²⁶ = 70628143 is a prime.

It is a super-3 number, since 3×137737007³ (a number of 25 digits) contains 333 as substring.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137737001) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68868503 + 68868504.

It is an arithmetic number, because the mean of its divisors is an integer number (68868504).

Almost surely, 2^137737007 is an apocalyptic number.

137737007 is a deficient number, since it is larger than the sum of its proper divisors (1).

137737007 is an equidigital number, since it uses as much as digits as its factorization.

137737007 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 21609, while the sum is 35.

The square root of 137737007 is about 11736.1410608428. The cubic root of 137737007 is about 516.4364421848.

The spelling of 137737007 in words is "one hundred thirty-seven million, seven hundred thirty-seven thousand, seven".