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137380591 is a prime number
BaseRepresentation
bin10000011000001…
…00001011101111
3100120111122202001
420030010023233
5240132134331
621344313131
73255500335
oct1014041357
9316448661
10137380591
1170603087
123a0127a7
1322600cba
1414361b55
15c0da561
hex83042ef

137380591 has 2 divisors, whose sum is σ = 137380592. Its totient is φ = 137380590.

The previous prime is 137380559. The next prime is 137380597. The reversal of 137380591 is 195083731.

It is a happy number.

It is a strong prime.

It is a cyclic number.

It is not a de Polignac number, because 137380591 - 25 = 137380559 is a prime.

It is equal to p7772491 and since 137380591 and 7772491 have the same sum of digits, it is a Honaker prime.

It is a self number, because there is not a number n which added to its sum of digits gives 137380591.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137380597) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 68690295 + 68690296.

It is an arithmetic number, because the mean of its divisors is an integer number (68690296).

Almost surely, 2137380591 is an apocalyptic number.

137380591 is a deficient number, since it is larger than the sum of its proper divisors (1).

137380591 is an equidigital number, since it uses as much as digits as its factorization.

137380591 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 22680, while the sum is 37.

The square root of 137380591 is about 11720.9466767834. The cubic root of 137380591 is about 515.9906041095.

The spelling of 137380591 in words is "one hundred thirty-seven million, three hundred eighty thousand, five hundred ninety-one".