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137374381 is a prime number
BaseRepresentation
bin10000011000000…
…10101010101101
3100120111100020001
420030002222231
5240131440011
621344224301
73255443254
oct1014025255
9316440201
10137374381
11705a9451
123a00b091
13225cb221
141435d79b
15c0d87c1
hex8302aad

137374381 has 2 divisors, whose sum is σ = 137374382. Its totient is φ = 137374380.

The previous prime is 137374333. The next prime is 137374387. The reversal of 137374381 is 183473731.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 123010281 + 14364100 = 11091^2 + 3790^2 .

It is a cyclic number.

It is not a de Polignac number, because 137374381 - 27 = 137374253 is a prime.

It is a super-2 number, since 2×1373743812 = 37743441110266322, which contains 22 as substring.

It is a Chen prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137374381.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137374387) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68687190 + 68687191.

It is an arithmetic number, because the mean of its divisors is an integer number (68687191).

Almost surely, 2137374381 is an apocalyptic number.

It is an amenable number.

137374381 is a deficient number, since it is larger than the sum of its proper divisors (1).

137374381 is an equidigital number, since it uses as much as digits as its factorization.

137374381 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 42336, while the sum is 37.

The square root of 137374381 is about 11720.6817634470. The cubic root of 137374381 is about 515.9828292365.

The spelling of 137374381 in words is "one hundred thirty-seven million, three hundred seventy-four thousand, three hundred eighty-one".