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135486560 = 25511233347
BaseRepresentation
bin10000001001101…
…01110001100000
3100102221102121202
420010311301200
5234141032220
621235540332
73233421356
oct1004656140
9312842552
10135486560
116a52a070
123945a6a8
13220b9b81
1413dcb7d6
15bd64275
hex8135c60

135486560 has 96 divisors (see below), whose sum is σ = 364476672. Its totient is φ = 47111680.

The previous prime is 135486557. The next prime is 135486607. The reversal of 135486560 is 65684531.

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, 38807 + ... + 42153.

It is an arithmetic number, because the mean of its divisors is an integer number (3796632).

Almost surely, 2135486560 is an apocalyptic number.

135486560 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 135486560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182238336).

135486560 is an abundant number, since it is smaller than the sum of its proper divisors (228990112).

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

135486560 is a wasteful number, since it uses less digits than its factorization.

135486560 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3396 (or 3388 counting only the distinct ones).

The product of its (nonzero) digits is 86400, while the sum is 38.

The square root of 135486560 is about 11639.8694150751. The cubic root of 135486560 is about 513.6083457332.

The spelling of 135486560 in words is "one hundred thirty-five million, four hundred eighty-six thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 32 40 44 46 55 80 88 92 110 115 160 176 184 220 230 253 352 368 440 460 506 736 880 920 1012 1265 1760 1840 2024 2530 3347 3680 4048 5060 6694 8096 10120 13388 16735 20240 26776 33470 36817 40480 53552 66940 73634 76981 107104 133880 147268 153962 184085 267760 294536 307924 368170 384905 535520 589072 615848 736340 769810 846791 1178144 1231696 1472680 1539620 1693582 2463392 2945360 3079240 3387164 4233955 5890720 6158480 6774328 8467910 12316960 13548656 16935820 27097312 33871640 67743280 135486560