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137845323 = 3271119329
BaseRepresentation
bin10000011011101…
…01101001001011
3100121101021020100
420031311221023
5240242022243
621402300443
73262444260
oct1015655113
9317337210
10137845323
11708a0260
123a1b7723
13227346a5
1414443267
15c17d0d3
hex8375a4b

137845323 has 96 divisors (see below), whose sum is σ = 271065600. Its totient is φ = 65499840.

The previous prime is 137845303. The next prime is 137845339. The reversal of 137845323 is 323548731.

137845323 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 137845323 - 26 = 137845259 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137845303) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4753273 + ... + 4753301.

It is an arithmetic number, because the mean of its divisors is an integer number (2823600).

Almost surely, 2137845323 is an apocalyptic number.

137845323 is a deficient number, since it is larger than the sum of its proper divisors (133220277).

137845323 is a wasteful number, since it uses less digits than its factorization.

137845323 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 110 (or 69 counting only the distinct ones).

The product of its digits is 60480, while the sum is 36.

The square root of 137845323 is about 11740.7547883430. The cubic root of 137845323 is about 516.5717814424.

The spelling of 137845323 in words is "one hundred thirty-seven million, eight hundred forty-five thousand, three hundred twenty-three".

Divisors: 1 3 7 9 11 19 21 29 33 57 63 77 87 99 133 171 203 209 231 261 319 361 399 551 609 627 693 957 1083 1197 1463 1653 1827 1881 2233 2527 2871 3249 3857 3971 4389 4959 6061 6699 6859 7581 10469 11571 11913 13167 18183 20097 20577 22743 27797 31407 34713 35739 42427 48013 54549 61731 73283 75449 83391 94221 115159 127281 144039 198911 219849 226347 250173 345477 381843 432117 528143 596733 659547 679041 806113 1036431 1392377 1584429 1790199 2188021 2418339 4177131 4753287 6564063 7255017 12531393 15316147 19692189 45948441 137845323