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137069181 = 32174332069
BaseRepresentation
bin10000010101110…
…00001001111101
3100112220211120100
420022320021331
5240042203211
621333511313
73253032414
oct1012701175
9315824510
10137069181
1170410117
1239aa2539
1322522332
14142c047b
15c078156
hex82b827d

137069181 has 24 divisors (see below), whose sum is σ = 210220920. Its totient is φ = 85764096.

The previous prime is 137069159. The next prime is 137069239. The reversal of 137069181 is 181960731.

It can be written as a sum of positive squares in 4 ways, for example, as 2277081 + 134792100 = 1509^2 + 11610^2 .

It is not a de Polignac number, because 137069181 - 219 = 136544893 is a prime.

It is a super-2 number, since 2×1370691812 = 37575920760021522, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (137069131) 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 23 ways as a sum of consecutive naturals, for example, 65215 + ... + 67283.

It is an arithmetic number, because the mean of its divisors is an integer number (8759205).

Almost surely, 2137069181 is an apocalyptic number.

It is an amenable number.

137069181 is a deficient number, since it is larger than the sum of its proper divisors (73151739).

137069181 is a wasteful number, since it uses less digits than its factorization.

137069181 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2525 (or 2522 counting only the distinct ones).

The product of its (nonzero) digits is 9072, while the sum is 36.

The square root of 137069181 is about 11707.6548035890. The cubic root of 137069181 is about 515.6004320636.

The spelling of 137069181 in words is "one hundred thirty-seven million, sixty-nine thousand, one hundred eighty-one".

Divisors: 1 3 9 17 51 153 433 1299 2069 3897 6207 7361 18621 22083 35173 66249 105519 316557 895877 2687631 8062893 15229909 45689727 137069181