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136134560 = 2554347421
BaseRepresentation
bin10000001110100…
…11111110100000
3100111011100111202
420013103332200
5234322301220
621301500332
73242060522
oct1007237640
9314140452
10136134560
116a931a01
12397116a8
1322285ac3
1414119a12
15be41275
hex81d3fa0

136134560 has 96 divisors (see below), whose sum is σ = 336897792. Its totient is φ = 51932160.

The previous prime is 136134541. The next prime is 136134577. The reversal of 136134560 is 65431631.

It is a happy 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 15 ways as a sum of consecutive naturals, for example, 323150 + ... + 323570.

It is an arithmetic number, because the mean of its divisors is an integer number (3509352).

Almost surely, 2136134560 is an apocalyptic number.

136134560 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 136134560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168448896).

136134560 is an abundant number, since it is smaller than the sum of its proper divisors (200763232).

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

136134560 is a wasteful number, since it uses less digits than its factorization.

136134560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 526 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 29.

The square root of 136134560 is about 11667.6715757687. The cubic root of 136134560 is about 514.4258659768.

The spelling of 136134560 in words is "one hundred thirty-six million, one hundred thirty-four thousand, five hundred sixty".

Divisors: 1 2 4 5 8 10 16 20 32 40 43 47 80 86 94 160 172 188 215 235 344 376 421 430 470 688 752 842 860 940 1376 1504 1684 1720 1880 2021 2105 3368 3440 3760 4042 4210 6736 6880 7520 8084 8420 10105 13472 16168 16840 18103 19787 20210 32336 33680 36206 39574 40420 64672 67360 72412 79148 80840 90515 98935 144824 158296 161680 181030 197870 289648 316592 323360 362060 395740 579296 633184 724120 791480 850841 1448240 1582960 1701682 2896480 3165920 3403364 4254205 6806728 8508410 13613456 17016820 27226912 34033640 68067280 136134560