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137659005 = 32511476197
BaseRepresentation
bin10000011010010…
…00001001111101
3100121000210122200
420031020021331
5240220042010
621354302113
73261040131
oct1015101175
9317023580
10137659005
1170783280
123a127939
132269a943
14143d53c1
15c142cc0
hex834827d

137659005 has 96 divisors (see below), whose sum is σ = 272982528. Its totient is φ = 63590400.

The previous prime is 137658949. The next prime is 137659019. The reversal of 137659005 is 500956731.

It is a happy number.

It is not a de Polignac number, because 137659005 - 214 = 137642621 is a prime.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1419117 + ... + 1419213.

It is an arithmetic number, because the mean of its divisors is an integer number (2843568).

Almost surely, 2137659005 is an apocalyptic number.

137659005 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

137659005 is a deficient number, since it is larger than the sum of its proper divisors (135323523).

137659005 is a wasteful number, since it uses less digits than its factorization.

137659005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 224 counting only the distinct ones).

The product of its (nonzero) digits is 28350, while the sum is 36.

The square root of 137659005 is about 11732.8174365751. The cubic root of 137659005 is about 516.3389358746.

The spelling of 137659005 in words is "one hundred thirty-seven million, six hundred fifty-nine thousand, five".

Divisors: 1 3 5 9 11 15 33 45 47 55 61 97 99 141 165 183 235 291 305 423 485 495 517 549 671 705 873 915 1067 1455 1551 2013 2115 2585 2745 2867 3201 3355 4365 4559 4653 5335 5917 6039 7755 8601 9603 10065 13677 14335 16005 17751 22795 23265 25803 29585 30195 31537 41031 43005 48015 50149 53253 65087 68385 88755 94611 129015 150447 157685 195261 205155 250745 266265 278099 283833 325435 451341 473055 585783 752235 834297 976305 1390495 1419165 2256705 2502891 2928915 3059089 4171485 9177267 12514455 15295445 27531801 45886335 137659005