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137061037 is a prime number
BaseRepresentation
bin10000010101101…
…10001010101101
3100112220102101201
420022312022231
5240041423122
621333405501
73252666601
oct1012661255
9315812351
10137061037
1170404a93
1239a99891
132251b709
14142bb501
15c075a27
hex82b62ad

137061037 has 2 divisors, whose sum is σ = 137061038. Its totient is φ = 137061036.

The previous prime is 137061031. The next prime is 137061049. The reversal of 137061037 is 730160731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 119705481 + 17355556 = 10941^2 + 4166^2 .

It is an emirp because it is prime and its reverse (730160731) is a distict prime.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137061037 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137060996 and 137061014.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137061031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68530518 + 68530519.

It is an arithmetic number, because the mean of its divisors is an integer number (68530519).

Almost surely, 2137061037 is an apocalyptic number.

It is an amenable number.

137061037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137061037 is an equidigital number, since it uses as much as digits as its factorization.

137061037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 2646, while the sum is 28.

The square root of 137061037 is about 11707.3069917894. The cubic root of 137061037 is about 515.5902203514.

The spelling of 137061037 in words is "one hundred thirty-seven million, sixty-one thousand, thirty-seven".