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137175037 is a prime number
BaseRepresentation
bin10000010110100…
…01111111111101
3100120010012202221
420023101333331
5240104100122
621340045341
73253653136
oct1013217775
9316105687
10137175037
11704826aa
1239b33851
132255b57c
141430ac8d
15c0996c7
hex82d1ffd

137175037 has 2 divisors, whose sum is σ = 137175038. Its totient is φ = 137175036.

The previous prime is 137175011. The next prime is 137175097. The reversal of 137175037 is 730571731.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 128799801 + 8375236 = 11349^2 + 2894^2 .

It is a cyclic number.

It is not a de Polignac number, because 137175037 - 219 = 136650749 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 137174993 and 137175011.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137175097) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68587518 + 68587519.

It is an arithmetic number, because the mean of its divisors is an integer number (68587519).

Almost surely, 2137175037 is an apocalyptic number.

It is an amenable number.

137175037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137175037 is an equidigital number, since it uses as much as digits as its factorization.

137175037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 15435, while the sum is 34.

The square root of 137175037 is about 11712.1747340108. The cubic root of 137175037 is about 515.7331274775.

The spelling of 137175037 in words is "one hundred thirty-seven million, one hundred seventy-five thousand, thirty-seven".