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135882450 = 232521197283
BaseRepresentation
bin10000001100101…
…10011011010010
3100110200112200100
420012112123102
5234241214300
621252233230
73236660514
oct1006263322
9313615610
10135882450
116a77a550
123960b816
13221c8122
1414091bb4
15bde1700
hex81966d2

135882450 has 144 divisors (see below), whose sum is σ = 403786656. Its totient is φ = 32486400.

The previous prime is 135882437. The next prime is 135882469. The reversal of 135882450 is 54288531.

It is a happy number.

135882450 is a `hidden beast` number, since 1 + 3 + 588 + 24 + 50 = 666.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 480009 + ... + 480291.

It is an arithmetic number, because the mean of its divisors is an integer number (2804074).

Almost surely, 2135882450 is an apocalyptic number.

135882450 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135882450, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201893328).

135882450 is an abundant number, since it is smaller than the sum of its proper divisors (267904206).

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

135882450 is a wasteful number, since it uses less digits than its factorization.

135882450 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 409 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 36.

The square root of 135882450 is about 11656.8627855011. The cubic root of 135882450 is about 514.1081116238.

The spelling of 135882450 in words is "one hundred thirty-five million, eight hundred eighty-two thousand, four hundred fifty".

Divisors: 1 2 3 5 6 9 10 11 15 18 22 25 30 33 45 50 55 66 75 90 97 99 110 150 165 194 198 225 275 283 291 330 450 485 495 550 566 582 825 849 873 970 990 1067 1415 1455 1650 1698 1746 2134 2425 2475 2547 2830 2910 3113 3201 4245 4365 4850 4950 5094 5335 6226 6402 7075 7275 8490 8730 9339 9603 10670 12735 14150 14550 15565 16005 18678 19206 21225 21825 25470 26675 27451 28017 31130 32010 42450 43650 46695 48015 53350 54902 56034 63675 77825 80025 82353 93390 96030 127350 137255 140085 155650 160050 164706 233475 240075 247059 274510 280170 301961 411765 466950 480150 494118 603922 686275 700425 823530 905883 1235295 1372550 1400850 1509805 1811766 2058825 2470590 2717649 3019610 4117650 4529415 5435298 6176475 7549025 9058830 12352950 13588245 15098050 22647075 27176490 45294150 67941225 135882450