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135000536 = 231117314171
BaseRepresentation
bin10000000101111…
…11000111011000
3100102000201220212
420002333013120
5234030004121
621221310252
73226325366
oct1002770730
9312021825
10135000536
116a2279a0
1239265388
1321c79898
1413d02636
15bcba25b
hex80bf1d8

135000536 has 128 divisors (see below), whose sum is σ = 313528320. Its totient is φ = 53760000.

The previous prime is 135000527. The next prime is 135000559. The reversal of 135000536 is 635000531.

It is a congruent number.

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 1901381 + ... + 1901451.

It is an arithmetic number, because the mean of its divisors is an integer number (2449440).

Almost surely, 2135000536 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135000536, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156764160).

135000536 is an abundant number, since it is smaller than the sum of its proper divisors (178527784).

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

135000536 is a wasteful number, since it uses less digits than its factorization.

135000536 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 177 (or 173 counting only the distinct ones).

The product of its (nonzero) digits is 1350, while the sum is 23.

The square root of 135000536 is about 11618.9731043668. The cubic root of 135000536 is about 512.9934629259.

The spelling of 135000536 in words is "one hundred thirty-five million, five hundred thirty-six", and thus it is an aban number.

Divisors: 1 2 4 8 11 17 22 31 34 41 44 62 68 71 82 88 124 136 142 164 187 248 284 328 341 374 451 527 568 682 697 748 781 902 1054 1207 1271 1364 1394 1496 1562 1804 2108 2201 2414 2542 2728 2788 2911 3124 3608 4216 4402 4828 5084 5576 5797 5822 6248 7667 8804 9656 10168 11594 11644 13277 13981 15334 17608 21607 23188 23288 24211 26554 27962 30668 32021 37417 43214 46376 48422 49487 53108 55924 61336 64042 74834 86428 90241 96844 98974 106216 111848 128084 149668 172856 180482 193688 197948 237677 256168 299336 360964 395896 411587 475354 544357 721928 823174 950708 992651 1088714 1534097 1646348 1901416 1985302 2177428 3068194 3292696 3970604 4354856 6136388 7941208 12272776 16875067 33750134 67500268 135000536