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135022140 = 22345117577
BaseRepresentation
bin10000000110001…
…00011000111100
3100102001211120000
420003010120330
5234031202030
621221554300
73226445361
oct1003043074
9312054500
10135022140
116a242150
1239275990
1321c86676
1413d0a468
15bcc1860
hex80c463c

135022140 has 120 divisors (see below), whose sum is σ = 462136752. Its totient is φ = 32728320.

The previous prime is 135022133. The next prime is 135022141. The reversal of 135022140 is 41220531.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135022141) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 14032 + ... + 21608.

Almost surely, 2135022140 is an apocalyptic number.

135022140 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 135022140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231068376).

135022140 is an abundant number, since it is smaller than the sum of its proper divisors (327114612).

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

135022140 is a wasteful number, since it uses less digits than its factorization.

135022140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7609 (or 7598 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 18.

The square root of 135022140 is about 11619.9027534657. The cubic root of 135022140 is about 513.0208260756.

Adding to 135022140 its reverse (41220531), we get a palindrome (176242671).

The spelling of 135022140 in words is "one hundred thirty-five million, twenty-two thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 11 12 15 18 20 22 27 30 33 36 44 45 54 55 60 66 81 90 99 108 110 132 135 162 165 180 198 220 270 297 324 330 396 405 495 540 594 660 810 891 990 1188 1485 1620 1782 1980 2970 3564 4455 5940 7577 8910 15154 17820 22731 30308 37885 45462 68193 75770 83347 90924 113655 136386 151540 166694 204579 227310 250041 272772 333388 340965 409158 416735 454620 500082 613737 681930 750123 818316 833470 1000164 1022895 1227474 1250205 1363860 1500246 1666940 2045790 2250369 2454948 2500410 3000492 3068685 3750615 4091580 4500738 5000820 6137370 6751107 7501230 9001476 11251845 12274740 13502214 15002460 22503690 27004428 33755535 45007380 67511070 135022140