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137256319 is a prime number
BaseRepresentation
bin10000010111001…
…01110101111111
3100120021100021101
420023211311333
5240114200234
621341513531
73254442124
oct1013456577
9316240241
10137256319
1170528782
1239b728a7
1322589575
141432c74b
15c0b3814
hex82e5d7f

137256319 has 2 divisors, whose sum is σ = 137256320. Its totient is φ = 137256318.

The previous prime is 137256311. The next prime is 137256349. The reversal of 137256319 is 913652731.

It is a weak prime.

It is an emirp because it is prime and its reverse (913652731) is a distict prime.

It is a cyclic number.

It is not a de Polignac number, because 137256319 - 23 = 137256311 is a prime.

It is a super-2 number, since 2×1372563192 = 37678594210859522, which contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (137256311) 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, 68628159 + 68628160.

It is an arithmetic number, because the mean of its divisors is an integer number (68628160).

Almost surely, 2137256319 is an apocalyptic number.

137256319 is a deficient number, since it is larger than the sum of its proper divisors (1).

137256319 is an equidigital number, since it uses as much as digits as its factorization.

137256319 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 34020, while the sum is 37.

The square root of 137256319 is about 11715.6441991040. The cubic root of 137256319 is about 515.8349719141.

The spelling of 137256319 in words is "one hundred thirty-seven million, two hundred fifty-six thousand, three hundred nineteen".