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136905683640 = 233511790113127
BaseRepresentation
bin111111110000000110…
…1101111001010111000
3111002101012012022200120
41333200031233022320
54220340323334030
6142521003533240
712614436052545
oct1774015571270
9432335168616
10136905683640
11530747644a0
122264952a220
13cbaa7a6c7b
1468aa6b3bcc
15386424c010
hex1fe036f2b8

136905683640 has 128 divisors (see below), whose sum is σ = 448145809920. Its totient is φ = 33182528000.

The previous prime is 136905683639. The next prime is 136905683641. The reversal of 136905683640 is 46386509631.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (136905683639) and next prime (136905683641).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136905683641) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10422757 + ... + 10435883.

It is an arithmetic number, because the mean of its divisors is an integer number (3501139140).

Almost surely, 2136905683640 is an apocalyptic number.

136905683640 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

136905683640 is an abundant number, since it is smaller than the sum of its proper divisors (311240126280).

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

136905683640 is a wasteful number, since it uses less digits than its factorization.

136905683640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21053 (or 21049 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 51.

The spelling of 136905683640 in words is "one hundred thirty-six billion, nine hundred five million, six hundred eighty-three thousand, six hundred forty".

Divisors: 1 2 3 4 5 6 8 10 11 12 15 20 22 24 30 33 40 44 55 60 66 88 110 120 132 165 220 264 330 440 660 1320 7901 13127 15802 23703 26254 31604 39381 39505 47406 52508 63208 65635 78762 79010 86911 94812 105016 118515 131270 144397 157524 158020 173822 189624 196905 237030 260733 262540 288794 315048 316040 347644 393810 433191 434555 474060 521466 525080 577588 695288 721985 787620 866382 869110 948120 1042932 1155176 1303665 1443970 1575240 1732764 1738220 2085864 2165955 2607330 2887940 3465528 3476440 4331910 5214660 5775880 8663820 10429320 17327640 103716427 207432854 311149281 414865708 518582135 622298562 829731416 1037164270 1140880697 1244597124 1555746405 2074328540 2281761394 2489194248 3111492810 3422642091 4148657080 4563522788 5704403485 6222985620 6845284182 9127045576 11408806970 12445971240 13690568364 17113210455 22817613940 27381136728 34226420910 45635227880 68452841820 136905683640