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137740785 = 357131947113
BaseRepresentation
bin10000011010111…
…00000111110001
3100121011221211120
420031130013301
5240230201120
621400132453
73261530430
oct1015340761
9317157746
10137740785
1170829766
123a167129
13226c8c30
1414417117
15c15c140
hex835c1f1

137740785 has 128 divisors (see below), whose sum is σ = 294174720. Its totient is φ = 53415936.

The previous prime is 137740777. The next prime is 137740789. The reversal of 137740785 is 587047731.

It is a happy number.

It is not a de Polignac number, because 137740785 - 23 = 137740777 is a prime.

It is not an unprimeable number, because it can be changed into a prime (137740789) 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 127 ways as a sum of consecutive naturals, for example, 1218889 + ... + 1219001.

It is an arithmetic number, because the mean of its divisors is an integer number (2298240).

Almost surely, 2137740785 is an apocalyptic number.

137740785 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137740785 is an abundant number, since it is smaller than the sum of its proper divisors (156433935).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

137740785 is a wasteful number, since it uses less digits than its factorization.

137740785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207.

The product of its (nonzero) digits is 164640, while the sum is 42.

The square root of 137740785 is about 11736.3020155414. The cubic root of 137740785 is about 516.4411639346.

The spelling of 137740785 in words is "one hundred thirty-seven million, seven hundred forty thousand, seven hundred eighty-five".

Divisors: 1 3 5 7 13 15 19 21 35 39 47 57 65 91 95 105 113 133 141 195 235 247 273 285 329 339 399 455 565 611 665 705 741 791 893 987 1235 1365 1469 1645 1695 1729 1833 1995 2147 2373 2679 3055 3705 3955 4277 4407 4465 4935 5187 5311 6251 6441 7345 8645 9165 10283 10735 11609 11865 12831 13395 15029 15933 18753 21385 22035 25935 26555 27911 30849 31255 32205 34827 37177 45087 51415 58045 64155 69043 75145 79665 81263 83733 93765 100909 111531 139555 154245 174135 185885 195377 207129 225435 243789 302727 345215 406315 418665 483301 504545 557655 586131 706363 976885 1035645 1218945 1311817 1449903 1513635 2119089 2416505 2930655 3531815 3935451 6559085 7249515 9182719 10595445 19677255 27548157 45913595 137740785