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136739680 = 25571121009
BaseRepresentation
bin10000010011001…
…11101101100000
3100112022002120121
420021213231200
5240001132210
621322450024
73250160650
oct1011475540
9315262517
10136739680
1170205600
1239963914
132243836c
1414236360
15c0106da
hex8267b60

136739680 has 144 divisors (see below), whose sum is σ = 406213920. Its totient is φ = 42577920.

The previous prime is 136739671. The next prime is 136739683. The reversal of 136739680 is 86937631.

136739680 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136739683) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 135016 + ... + 136024.

It is an arithmetic number, because the mean of its divisors is an integer number (2820930).

Almost surely, 2136739680 is an apocalyptic number.

136739680 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 136739680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203106960).

136739680 is an abundant number, since it is smaller than the sum of its proper divisors (269474240).

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

136739680 is a wasteful number, since it uses less digits than its factorization.

136739680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1053 (or 1034 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 43.

The square root of 136739680 is about 11693.5743038645. The cubic root of 136739680 is about 515.1869494399.

The spelling of 136739680 in words is "one hundred thirty-six million, seven hundred thirty-nine thousand, six hundred eighty".

Divisors: 1 2 4 5 7 8 10 11 14 16 20 22 28 32 35 40 44 55 56 70 77 80 88 110 112 121 140 154 160 176 220 224 242 280 308 352 385 440 484 560 605 616 770 847 880 968 1009 1120 1210 1232 1540 1694 1760 1936 2018 2420 2464 3080 3388 3872 4036 4235 4840 5045 6160 6776 7063 8072 8470 9680 10090 11099 12320 13552 14126 16144 16940 19360 20180 22198 27104 28252 32288 33880 35315 40360 44396 55495 56504 67760 70630 77693 80720 88792 110990 113008 122089 135520 141260 155386 161440 177584 221980 226016 244178 282520 310772 355168 388465 443960 488356 565040 610445 621544 776930 854623 887920 976712 1130080 1220890 1243088 1553860 1709246 1775840 1953424 2441780 2486176 3107720 3418492 3906848 4273115 4883560 6215440 6836984 8546230 9767120 12430880 13673968 17092460 19534240 27347936 34184920 68369840 136739680