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137000339 = 71011071811
BaseRepresentation
bin10000010101001…
…11010110010011
3100112210100010122
420022213112103
5240033002324
621332220455
73252324620
oct1012472623
9315710118
10137000339
1170373423
1239a6a72b
13224c9bb8
14142a3347
15c062a5e
hex82a7593

137000339 has 16 divisors (see below), whose sum is σ = 159687936. Its totient is φ = 115116000.

The previous prime is 137000329. The next prime is 137000363. The reversal of 137000339 is 933000731.

It is a cyclic number.

It is not a de Polignac number, because 137000339 - 24 = 137000323 is a prime.

It is a super-2 number, since 2×1370003392 = 37538185772229842, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (137000329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 74744 + ... + 76554.

It is an arithmetic number, because the mean of its divisors is an integer number (9980496).

Almost surely, 2137000339 is an apocalyptic number.

137000339 is a deficient number, since it is larger than the sum of its proper divisors (22687597).

137000339 is a wasteful number, since it uses less digits than its factorization.

137000339 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2026.

The product of its (nonzero) digits is 1701, while the sum is 26.

The square root of 137000339 is about 11704.7143920730. The cubic root of 137000339 is about 515.5140987519.

The spelling of 137000339 in words is "one hundred thirty-seven million, three hundred thirty-nine", and thus it is an aban number.

Divisors: 1 7 101 107 707 749 1811 10807 12677 75649 182911 193777 1280377 1356439 19571477 137000339