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137199037 is a prime number
BaseRepresentation
bin10000010110101…
…11110110111101
3100120011102200211
420023113312331
5240110332122
621340352421
73254113123
oct1013276675
9316142624
10137199037
1170499738
1239b45711
1322569481
1414315913
15c0a1877
hex82d7dbd

137199037 has 2 divisors, whose sum is σ = 137199038. Its totient is φ = 137199036.

The previous prime is 137199001. The next prime is 137199043. The reversal of 137199037 is 730991731.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 122345721 + 14853316 = 11061^2 + 3854^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2k-137199037 is a prime.

It is a Chen prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137199067) 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, 68599518 + 68599519.

It is an arithmetic number, because the mean of its divisors is an integer number (68599519).

Almost surely, 2137199037 is an apocalyptic number.

It is an amenable number.

137199037 is a deficient number, since it is larger than the sum of its proper divisors (1).

137199037 is an equidigital number, since it uses as much as digits as its factorization.

137199037 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 35721, while the sum is 40.

The square root of 137199037 is about 11713.1992640781. The cubic root of 137199037 is about 515.7632030986.

The spelling of 137199037 in words is "one hundred thirty-seven million, one hundred ninety-nine thousand, thirty-seven".