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137110037 is a prime number
BaseRepresentation
bin10000010110000…
…10001000010101
3100112222220121112
420023002020111
5240100010122
621334424405
73253262501
oct1013021025
9315886545
10137110037
1170438889
1239b02105
1322537acc
14142d1301
15c0852e2
hex82c2215

137110037 has 2 divisors, whose sum is σ = 137110038. Its totient is φ = 137110036.

The previous prime is 137110033. The next prime is 137110067. The reversal of 137110037 is 730011731.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 85858756 + 51251281 = 9266^2 + 7159^2 .

It is a cyclic number.

It is not a de Polignac number, because 137110037 - 22 = 137110033 is a prime.

It is a super-2 number, since 2×1371100372 = 37598324492282738, which contains 22 as substring.

It is a Chen prime.

It is a junction number, because it is equal to n+sod(n) for n = 137109994 and 137110021.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137110031) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68555018 + 68555019.

It is an arithmetic number, because the mean of its divisors is an integer number (68555019).

Almost surely, 2137110037 is an apocalyptic number.

It is an amenable number.

137110037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137110037 is an equidigital number, since it uses as much as digits as its factorization.

137110037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 441, while the sum is 23.

The square root of 137110037 is about 11709.3995149196. The cubic root of 137110037 is about 515.6516550506.

Adding to 137110037 its reverse (730011731), we get a palindrome (867121768).

The spelling of 137110037 in words is "one hundred thirty-seven million, one hundred ten thousand, thirty-seven".