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135049560 = 233523167293
BaseRepresentation
bin10000000110010…
…11000101011000
3100102010020011120
420003023011120
5234033041220
621222325240
73226621332
oct1003130530
9312106146
10135049560
116a260808
1239289820
1321c95ca9
1413d16452
15bcc9a40
hex80cb158

135049560 has 128 divisors (see below), whose sum is σ = 426746880. Its totient is φ = 34124288.

The previous prime is 135049553. The next prime is 135049589. The reversal of 135049560 is 65940531.

It is a happy number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 460774 + ... + 461066.

It is an arithmetic number, because the mean of its divisors is an integer number (3333960).

Almost surely, 2135049560 is an apocalyptic number.

135049560 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 135049560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213373440).

135049560 is an abundant number, since it is smaller than the sum of its proper divisors (291697320).

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

135049560 is a wasteful number, since it uses less digits than its factorization.

135049560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 497 (or 493 counting only the distinct ones).

The product of its (nonzero) digits is 16200, while the sum is 33.

The square root of 135049560 is about 11621.0825657509. The cubic root of 135049560 is about 513.0555514397.

The spelling of 135049560 in words is "one hundred thirty-five million, forty-nine thousand, five hundred sixty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 23 24 30 40 46 60 69 92 115 120 138 167 184 230 276 293 334 345 460 501 552 586 668 690 835 879 920 1002 1172 1336 1380 1465 1670 1758 2004 2344 2505 2760 2930 3340 3516 3841 4008 4395 5010 5860 6680 6739 7032 7682 8790 10020 11523 11720 13478 15364 17580 19205 20040 20217 23046 26956 30728 33695 35160 38410 40434 46092 48931 53912 57615 67390 76820 80868 92184 97862 101085 115230 134780 146793 153640 161736 195724 202170 230460 244655 269560 293586 391448 404340 460920 489310 587172 733965 808680 978620 1125413 1174344 1467930 1957240 2250826 2935860 3376239 4501652 5627065 5871720 6752478 9003304 11254130 13504956 16881195 22508260 27009912 33762390 45016520 67524780 135049560