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137082369 = 3232717331
BaseRepresentation
bin10000010101110…
…11011000000001
3100112221111122210
420022323120001
5240043113434
621334052333
73253116024
oct1012733001
9315844583
10137082369
117041a016
1239aaa0a9
1322528338
14142c51bb
15c07bee9
hex82bb601

137082369 has 16 divisors (see below), whose sum is σ = 191453184. Its totient is φ = 87080400.

The previous prime is 137082347. The next prime is 137082371. The reversal of 137082369 is 963280731.

It is not a de Polignac number, because 137082369 - 27 = 137082241 is a prime.

It is a super-2 number, since 2×1370823692 = 37583151781304322, which contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (137082329) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15034 + ... + 22364.

It is an arithmetic number, because the mean of its divisors is an integer number (11965824).

Almost surely, 2137082369 is an apocalyptic number.

It is an amenable number.

137082369 is a deficient number, since it is larger than the sum of its proper divisors (54370815).

137082369 is a wasteful number, since it uses less digits than its factorization.

137082369 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7628.

The product of its (nonzero) digits is 54432, while the sum is 39.

The square root of 137082369 is about 11708.2180112945. The cubic root of 137082369 is about 515.6169675590.

The spelling of 137082369 in words is "one hundred thirty-seven million, eighty-two thousand, three hundred sixty-nine".

Divisors: 1 3 23 69 271 813 6233 7331 18699 21993 168613 505839 1986701 5960103 45694123 137082369