137007373 has 2 divisors, whose sum is σ = 137007374. Its totient is φ = 137007372.

The previous prime is 137007371. The next prime is 137007379. The reversal of 137007373 is 373700731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 134629609 + 2377764 = 11603^2 + 1542^2 .

It is a cyclic number.

It is not a de Polignac number, because 137007373 - 2¹ = 137007371 is a prime.

It is a super-2 number, since 2×137007373² = 37542040512722258, which contains 22 as substring.

Together with 137007371, it forms a pair of twin primes.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137007371) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68503686 + 68503687.

It is an arithmetic number, because the mean of its divisors is an integer number (68503687).

Almost surely, 2^137007373 is an apocalyptic number.

It is an amenable number.

137007373 is a deficient number, since it is larger than the sum of its proper divisors (1).

137007373 is an equidigital number, since it uses as much as digits as its factorization.

137007373 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 9261, while the sum is 31.

The square root of 137007373 is about 11705.0148654327. The cubic root of 137007373 is about 515.5229212705.

The spelling of 137007373 in words is "one hundred thirty-seven million, seven thousand, three hundred seventy-three".