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135608520 = 233510191109
BaseRepresentation
bin10000001010100…
…11100011001000
3100110011121220210
420011103203020
5234203433040
621242321120
73234440055
oct1005234310
9313147823
10135608520
116a602763
12394b91a0
1322130538
141402002c
15bd8a480
hex81538c8

135608520 has 64 divisors (see below), whose sum is σ = 407592000. Its totient is φ = 36094208.

The previous prime is 135608519. The next prime is 135608527. The reversal of 135608520 is 25806531.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is not an unprimeable number, because it can be changed into a prime (135608527) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 121726 + ... + 122834.

It is an arithmetic number, because the mean of its divisors is an integer number (6368625).

Almost surely, 2135608520 is an apocalyptic number.

135608520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135608520 is an abundant number, since it is smaller than the sum of its proper divisors (271983480).

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

135608520 is a wasteful number, since it uses less digits than its factorization.

135608520 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2142 (or 2138 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 30.

The square root of 135608520 is about 11645.1071270298. The cubic root of 135608520 is about 513.7624099393.

The spelling of 135608520 in words is "one hundred thirty-five million, six hundred eight thousand, five hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 30 40 60 120 1019 1109 2038 2218 3057 3327 4076 4436 5095 5545 6114 6654 8152 8872 10190 11090 12228 13308 15285 16635 20380 22180 24456 26616 30570 33270 40760 44360 61140 66540 122280 133080 1130071 2260142 3390213 4520284 5650355 6780426 9040568 11300710 13560852 16951065 22601420 27121704 33902130 45202840 67804260 135608520