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136351080 = 23335191661
BaseRepresentation
bin10000010000010…
…00110101101000
3100111120100112000
420020020311220
5234401213310
621310251000
73243652005
oct1010106550
9314510460
10136351080
116aa6a648
12397b6a60
1322330518
14141748ac
15be854c0
hex8208d68

136351080 has 128 divisors (see below), whose sum is σ = 457574400. Its totient is φ = 36115200.

The previous prime is 136351021. The next prime is 136351099. The reversal of 136351080 is 80153631.

136351080 is a `hidden beast` number, since 13 + 63 + 510 + 80 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

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, 205950 + ... + 206610.

It is an arithmetic number, because the mean of its divisors is an integer number (3574800).

Almost surely, 2136351080 is an apocalyptic number.

136351080 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 136351080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228787200).

136351080 is an abundant number, since it is smaller than the sum of its proper divisors (321223320).

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

136351080 is a wasteful number, since it uses less digits than its factorization.

136351080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 872 (or 862 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 136351080 is about 11676.9465186752. The cubic root of 136351080 is about 514.6984504191.

The spelling of 136351080 in words is "one hundred thirty-six million, three hundred fifty-one thousand, eighty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 27 30 36 40 45 54 60 72 90 108 120 135 180 191 216 270 360 382 540 573 661 764 955 1080 1146 1322 1528 1719 1910 1983 2292 2644 2865 3305 3438 3820 3966 4584 5157 5288 5730 5949 6610 6876 7640 7932 8595 9915 10314 11460 11898 13220 13752 15864 17190 17847 19830 20628 22920 23796 25785 26440 29745 34380 35694 39660 41256 47592 51570 59490 68760 71388 79320 89235 103140 118980 126251 142776 178470 206280 237960 252502 356940 378753 505004 631255 713880 757506 1010008 1136259 1262510 1515012 1893765 2272518 2525020 3030024 3408777 3787530 4545036 5050040 5681295 6817554 7575060 9090072 11362590 13635108 15150120 17043885 22725180 27270216 34087770 45450360 68175540 136351080