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137690381 is a prime number
BaseRepresentation
bin10000011010011…
…11110100001101
3100121002101200202
420031033310031
5240222043011
621355103245
73261230453
oct1015176415
9317071622
10137690381
11707a4904
123a141b25
13226abcca
14144029d3
15c14c23b
hex834fd0d

137690381 has 2 divisors, whose sum is σ = 137690382. Its totient is φ = 137690380.

The previous prime is 137690353. The next prime is 137690383. The reversal of 137690381 is 183096731.

137690381 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 127893481 + 9796900 = 11309^2 + 3130^2 .

It is an emirp because it is prime and its reverse (183096731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137690381 is a prime.

It is a super-2 number, since 2×1376903812 = 37917282039850322, which contains 22 as substring.

Together with 137690383, it forms a pair of twin primes.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137690383) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68845190 + 68845191.

It is an arithmetic number, because the mean of its divisors is an integer number (68845191).

Almost surely, 2137690381 is an apocalyptic number.

It is an amenable number.

137690381 is a deficient number, since it is larger than the sum of its proper divisors (1).

137690381 is an equidigital number, since it uses as much as digits as its factorization.

137690381 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 27216, while the sum is 38.

The square root of 137690381 is about 11734.1544646387. The cubic root of 137690381 is about 516.3781618343.

The spelling of 137690381 in words is "one hundred thirty-seven million, six hundred ninety thousand, three hundred eighty-one".