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137026361 is a prime number
BaseRepresentation
bin10000010101011…
…01101100111001
3100112211122211102
420022231230321
5240034320421
621332541145
73252463523
oct1012555471
9315748742
10137026361
1170390a2a
1239a817b5
13225089b4
14142aca13
15c06a60b
hex82adb39

137026361 has 2 divisors, whose sum is σ = 137026362. Its totient is φ = 137026360.

The previous prime is 137026349. The next prime is 137026367. The reversal of 137026361 is 163620731.

137026361 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., 124992400 + 12033961 = 11180^2 + 3469^2 .

It is a cyclic number.

It is not a de Polignac number, because 137026361 - 26 = 137026297 is a prime.

It is equal to p7753610 and since 137026361 and 7753610 have the same sum of digits, it is a Honaker prime.

It is not a weakly prime, because it can be changed into another prime (137026367) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68513180 + 68513181.

It is an arithmetic number, because the mean of its divisors is an integer number (68513181).

Almost surely, 2137026361 is an apocalyptic number.

It is an amenable number.

137026361 is a deficient number, since it is larger than the sum of its proper divisors (1).

137026361 is an equidigital number, since it uses as much as digits as its factorization.

137026361 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 4536, while the sum is 29.

The square root of 137026361 is about 11705.8259426663. The cubic root of 137026361 is about 515.5467357968.

The spelling of 137026361 in words is "one hundred thirty-seven million, twenty-six thousand, three hundred sixty-one".