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136041000 = 23353137331
BaseRepresentation
bin10000001101111…
…01001000101000
3100110222121011120
420012331020220
5234311303000
621255455240
73241220664
oct1006751050
9313877146
10136041000
116a878687
1239687520
1322252344
14140d38a4
15be236a0
hex81bd228

136041000 has 128 divisors (see below), whose sum is σ = 428837760. Its totient is φ = 35904000.

The previous prime is 136040981. The next prime is 136041013. The reversal of 136041000 is 140631.

It is a Harshad number since it is a multiple of its sum of digits (15).

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, 410835 + ... + 411165.

It is an arithmetic number, because the mean of its divisors is an integer number (3350295).

Almost surely, 2136041000 is an apocalyptic number.

136041000 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 136041000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214418880).

136041000 is an abundant number, since it is smaller than the sum of its proper divisors (292796760).

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

136041000 is a wasteful number, since it uses less digits than its factorization.

136041000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 492 (or 478 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 15.

The square root of 136041000 is about 11663.6615177225. The cubic root of 136041000 is about 514.3079906577.

Adding to 136041000 its reverse (140631), we get a palindrome (136181631).

The spelling of 136041000 in words is "one hundred thirty-six million, forty-one thousand".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 125 137 150 200 250 274 300 331 375 411 500 548 600 662 685 750 822 993 1000 1096 1324 1370 1500 1644 1655 1986 2055 2648 2740 3000 3288 3310 3425 3972 4110 4965 5480 6620 6850 7944 8220 8275 9930 10275 13240 13700 16440 16550 17125 19860 20550 24825 27400 33100 34250 39720 41100 41375 45347 49650 51375 66200 68500 82200 82750 90694 99300 102750 124125 136041 137000 165500 181388 198600 205500 226735 248250 272082 331000 362776 411000 453470 496500 544164 680205 906940 993000 1088328 1133675 1360410 1813880 2267350 2720820 3401025 4534700 5441640 5668375 6802050 9069400 11336750 13604100 17005125 22673500 27208200 34010250 45347000 68020500 136041000