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136114000 = 24531123269
BaseRepresentation
bin10000001110011…
…10111101010000
3100111010022022021
420013032331100
5234321122000
621301221224
73241643551
oct1007167520
9314108267
10136114000
116a918510
1239701814
1322279639
1414112328
15be3a11a
hex81cef50

136114000 has 160 divisors (see below), whose sum is σ = 376047360. Its totient is φ = 47168000.

The previous prime is 136113979. The next prime is 136114001. The reversal of 136114000 is 411631.

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (136114001) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 505866 + ... + 506134.

It is an arithmetic number, because the mean of its divisors is an integer number (2350296).

Almost surely, 2136114000 is an apocalyptic number.

136114000 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 136114000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (188023680).

136114000 is an abundant number, since it is smaller than the sum of its proper divisors (239933360).

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

136114000 is a wasteful number, since it uses less digits than its factorization.

136114000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 310 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 16.

The square root of 136114000 is about 11666.7904755335. The cubic root of 136114000 is about 514.3999672672.

Adding to 136114000 its reverse (411631), we get a palindrome (136525631).

The spelling of 136114000 in words is "one hundred thirty-six million, one hundred fourteen thousand".

Divisors: 1 2 4 5 8 10 11 16 20 22 23 25 40 44 46 50 55 80 88 92 100 110 115 125 176 184 200 220 230 250 253 269 275 368 400 440 460 500 506 538 550 575 880 920 1000 1012 1076 1100 1150 1265 1345 1375 1840 2000 2024 2152 2200 2300 2530 2690 2750 2875 2959 4048 4304 4400 4600 5060 5380 5500 5750 5918 6187 6325 6725 9200 10120 10760 11000 11500 11836 12374 12650 13450 14795 20240 21520 22000 23000 23672 24748 25300 26900 29590 30935 31625 33625 46000 47344 49496 50600 53800 59180 61870 63250 67250 68057 73975 98992 101200 107600 118360 123740 126500 134500 136114 147950 154675 236720 247480 253000 269000 272228 295900 309350 340285 369875 494960 506000 538000 544456 591800 618700 680570 739750 773375 1088912 1183600 1237400 1361140 1479500 1546750 1701425 2474800 2722280 2959000 3093500 3402850 5444560 5918000 6187000 6805700 8507125 12374000 13611400 17014250 27222800 34028500 68057000 136114000