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136648960 = 2857101151
BaseRepresentation
bin10000010010100…
…01100100000000
3100112010111010121
420021101210000
5234440231320
621320510024
73246332320
oct1011214400
9315114117
10136648960
1170153428
123991b314
1322405c96
1414211280
15bee38aa
hex8251900

136648960 has 144 divisors (see below), whose sum is σ = 380282112. Its totient is φ = 46080000.

The previous prime is 136648937. The next prime is 136648973. The reversal of 136648960 is 69846631.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 904885 + ... + 905035.

It is an arithmetic number, because the mean of its divisors is an integer number (2640848).

Almost surely, 2136648960 is an apocalyptic number.

136648960 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 136648960, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190141056).

136648960 is an abundant number, since it is smaller than the sum of its proper divisors (243633152).

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

136648960 is a wasteful number, since it uses less digits than its factorization.

136648960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 280 (or 266 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 43.

The square root of 136648960 is about 11689.6946067893. The cubic root of 136648960 is about 515.0729905658.

The spelling of 136648960 in words is "one hundred thirty-six million, six hundred forty-eight thousand, nine hundred sixty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 101 112 128 140 151 160 202 224 256 280 302 320 404 448 505 560 604 640 707 755 808 896 1010 1057 1120 1208 1280 1414 1510 1616 1792 2020 2114 2240 2416 2828 3020 3232 3535 4040 4228 4480 4832 5285 5656 6040 6464 7070 8080 8456 8960 9664 10570 11312 12080 12928 14140 15251 16160 16912 19328 21140 22624 24160 25856 28280 30502 32320 33824 38656 42280 45248 48320 56560 61004 64640 67648 76255 84560 90496 96640 106757 113120 122008 129280 135296 152510 169120 180992 193280 213514 226240 244016 270592 305020 338240 427028 452480 488032 533785 610040 676480 854056 904960 976064 1067570 1220080 1352960 1708112 1952128 2135140 2440160 3416224 3904256 4270280 4880320 6832448 8540560 9760640 13664896 17081120 19521280 27329792 34162240 68324480 136648960