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135100160 = 2851323353
BaseRepresentation
bin10000000110101…
…11011100000000
3100102012210120122
420003113130000
5234041201120
621223355412
73230222006
oct1003273400
9312183518
10135100160
116a295828
12392b2b68
1321cb3030
1413d2aa76
15bcd9a25
hex80d7700

135100160 has 144 divisors (see below), whose sum is σ = 364682304. Its totient is φ = 47579136.

The previous prime is 135100111. The next prime is 135100211. The reversal of 135100160 is 61001531.

135100160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 382544 + ... + 382896.

It is an arithmetic number, because the mean of its divisors is an integer number (2532516).

Almost surely, 2135100160 is an apocalyptic number.

135100160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135100160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182341152).

135100160 is an abundant number, since it is smaller than the sum of its proper divisors (229582144).

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

135100160 is a wasteful number, since it uses less digits than its factorization.

135100160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 410 (or 396 counting only the distinct ones).

The product of its (nonzero) digits is 90, while the sum is 17.

The square root of 135100160 is about 11623.2594395892. The cubic root of 135100160 is about 513.1196201892.

Adding to 135100160 its reverse (61001531), we get a palindrome (196101691).

The spelling of 135100160 in words is "one hundred thirty-five million, one hundred thousand, one hundred sixty".

Divisors: 1 2 4 5 8 10 13 16 20 23 26 32 40 46 52 64 65 80 92 104 115 128 130 160 184 208 230 256 260 299 320 353 368 416 460 520 598 640 706 736 832 920 1040 1196 1280 1412 1472 1495 1664 1765 1840 2080 2392 2824 2944 2990 3328 3530 3680 4160 4589 4784 5648 5888 5980 7060 7360 8119 8320 9178 9568 11296 11960 14120 14720 16238 16640 18356 19136 22592 22945 23920 28240 29440 32476 36712 38272 40595 45184 45890 47840 56480 64952 73424 76544 81190 90368 91780 95680 105547 112960 129904 146848 162380 183560 191360 211094 225920 259808 293696 324760 367120 382720 422188 451840 519616 527735 587392 649520 734240 844376 1039232 1055470 1174784 1299040 1468480 1688752 2078464 2110940 2598080 2936960 3377504 4221880 5196160 5873920 6755008 8443760 10392320 13510016 16887520 27020032 33775040 67550080 135100160