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136500120 = 23335211599
BaseRepresentation
bin10000010001011…
…01001110011000
3100111211220222000
420020231032120
5234421000440
621313401000
73245142351
oct1010551630
9314756860
10136500120
1170061619
1239869160
1322383303
14141b2d28
15beb4730
hex822d398

136500120 has 128 divisors (see below), whose sum is σ = 457920000. Its totient is φ = 36167040.

The previous prime is 136500109. The next prime is 136500121. The reversal of 136500120 is 21005631.

136500120 is a `hidden beast` number, since 1 + 3 + 650 + 0 + 12 + 0 = 666.

136500120 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136500093 and 136500102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136500121) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 227581 + ... + 228179.

It is an arithmetic number, because the mean of its divisors is an integer number (3577500).

Almost surely, 2136500120 is an apocalyptic number.

136500120 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 136500120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228960000).

136500120 is an abundant number, since it is smaller than the sum of its proper divisors (321419880).

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

136500120 is a wasteful number, since it uses less digits than its factorization.

136500120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 830 (or 820 counting only the distinct ones).

The product of its (nonzero) digits is 180, while the sum is 18.

The square root of 136500120 is about 11683.3265810727. The cubic root of 136500120 is about 514.8859143400.

Adding to 136500120 its reverse (21005631), we get a palindrome (157505751).

The spelling of 136500120 in words is "one hundred thirty-six million, five hundred thousand, one hundred twenty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 211 216 270 360 422 540 599 633 844 1055 1080 1198 1266 1688 1797 1899 2110 2396 2532 2995 3165 3594 3798 4220 4792 5064 5391 5697 5990 6330 7188 7596 8440 8985 9495 10782 11394 11980 12660 14376 15192 16173 17970 18990 21564 22788 23960 25320 26955 28485 32346 35940 37980 43128 45576 53910 56970 64692 71880 75960 80865 107820 113940 126389 129384 161730 215640 227880 252778 323460 379167 505556 631945 646920 758334 1011112 1137501 1263890 1516668 1895835 2275002 2527780 3033336 3412503 3791670 4550004 5055560 5687505 6825006 7583340 9100008 11375010 13650012 15166680 17062515 22750020 27300024 34125030 45500040 68250060 136500120