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136956720 = 24352343577
BaseRepresentation
bin10000010100111…
…00101100110000
3100112201010022010
420022130230300
5240030103340
621331242520
73252053505
oct1012345460
9315633263
10136956720
117034367a
1239a49440
13224b30a4
14142914ac
15c054b80
hex829cb30

136956720 has 160 divisors (see below), whose sum is σ = 454113792. Its totient is φ = 34062336.

The previous prime is 136956719. The next prime is 136956733. The reversal of 136956720 is 27659631.

It is an unprimeable number.

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, 237072 + ... + 237648.

Almost surely, 2136956720 is an apocalyptic number.

136956720 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 136956720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227056896).

136956720 is an abundant number, since it is smaller than the sum of its proper divisors (317157072).

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

136956720 is a wasteful number, since it uses less digits than its factorization.

136956720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 659 (or 653 counting only the distinct ones).

The product of its (nonzero) digits is 68040, while the sum is 39.

The square root of 136956720 is about 11702.8509347082. The cubic root of 136956720 is about 515.4593821079.

The spelling of 136956720 in words is "one hundred thirty-six million, nine hundred fifty-six thousand, seven hundred twenty".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 23 24 30 40 43 46 48 60 69 80 86 92 115 120 129 138 172 184 215 230 240 258 276 344 345 368 430 460 516 552 577 645 688 690 860 920 989 1032 1104 1154 1290 1380 1720 1731 1840 1978 2064 2308 2580 2760 2885 2967 3440 3462 3956 4616 4945 5160 5520 5770 5934 6924 7912 8655 9232 9890 10320 11540 11868 13271 13848 14835 15824 17310 19780 23080 23736 24811 26542 27696 29670 34620 39560 39813 46160 47472 49622 53084 59340 66355 69240 74433 79120 79626 99244 106168 118680 124055 132710 138480 148866 159252 198488 199065 212336 237360 248110 265420 297732 318504 372165 396976 398130 496220 530840 570653 595464 637008 744330 796260 992440 1061680 1141306 1190928 1488660 1592520 1711959 1984880 2282612 2853265 2977320 3185040 3423918 4565224 5706530 5954640 6847836 8559795 9130448 11413060 13695672 17119590 22826120 27391344 34239180 45652240 68478360 136956720