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136336860 = 2232511371861
BaseRepresentation
bin10000010000001…
…01010111011100
3100111112122000100
420020011113130
5234400234420
621310101100
73243562362
oct1010052734
9314478010
10136336860
116aa5a9a0
12397aa790
1322326bca
141416d632
15be81190
hex82055dc

136336860 has 144 divisors (see below), whose sum is σ = 463593312. Its totient is φ = 32140800.

The previous prime is 136336831. The next prime is 136336867. The reversal of 136336860 is 68633631.

136336860 is a `hidden beast` number, since 13 + 633 + 6 + 8 + 6 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136336867) 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 47 ways as a sum of consecutive naturals, for example, 72330 + ... + 74190.

It is an arithmetic number, because the mean of its divisors is an integer number (3219398).

Almost surely, 2136336860 is an apocalyptic number.

136336860 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 136336860, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231796656).

136336860 is an abundant number, since it is smaller than the sum of its proper divisors (327256452).

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

136336860 is a wasteful number, since it uses less digits than its factorization.

136336860 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1924 (or 1919 counting only the distinct ones).

The product of its (nonzero) digits is 46656, while the sum is 36.

The square root of 136336860 is about 11676.3376107408. The cubic root of 136336860 is about 514.6805572314.

The spelling of 136336860 in words is "one hundred thirty-six million, three hundred thirty-six thousand, eight hundred sixty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 30 33 36 37 44 45 55 60 66 74 90 99 110 111 132 148 165 180 185 198 220 222 330 333 370 396 407 444 495 555 660 666 740 814 990 1110 1221 1332 1628 1665 1861 1980 2035 2220 2442 3330 3663 3722 4070 4884 5583 6105 6660 7326 7444 8140 9305 11166 12210 14652 16749 18315 18610 20471 22332 24420 27915 33498 36630 37220 40942 55830 61413 66996 68857 73260 81884 83745 102355 111660 122826 137714 167490 184239 204710 206571 245652 275428 307065 334980 344285 368478 409420 413142 614130 619713 688570 736956 757427 826284 921195 1032855 1228260 1239426 1377140 1514854 1842390 2065710 2272281 2478852 3029708 3098565 3684780 3787135 4131420 4544562 6197130 6816843 7574270 9089124 11361405 12394260 13633686 15148540 22722810 27267372 34084215 45445620 68168430 136336860