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135028440 = 233251921039
BaseRepresentation
bin10000000110001…
…01111011011000
3100102002011012100
420003011323120
5234031402230
621222043400
73226502631
oct1003057330
9312064170
10135028440
116a246958
1239279560
1321c894b1
1413d0c888
15bcc3660
hex80c5ed8

135028440 has 144 divisors (see below), whose sum is σ = 463600800. Its totient is φ = 34079616.

The previous prime is 135028427. The next prime is 135028447. The reversal of 135028440 is 44820531.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135028447) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 129441 + ... + 130479.

It is an arithmetic number, because the mean of its divisors is an integer number (3219450).

Almost surely, 2135028440 is an apocalyptic number.

135028440 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 135028440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (231800400).

135028440 is an abundant number, since it is smaller than the sum of its proper divisors (328572360).

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

135028440 is a wasteful number, since it uses less digits than its factorization.

135028440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1094 (or 1068 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 135028440 is about 11620.1738369097. The cubic root of 135028440 is about 513.0288049669.

Adding to 135028440 its reverse (44820531), we get a palindrome (179848971).

The spelling of 135028440 in words is "one hundred thirty-five million, twenty-eight thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 19 20 24 30 36 38 40 45 57 60 72 76 90 95 114 120 152 171 180 190 228 285 342 360 361 380 456 570 684 722 760 855 1039 1083 1140 1368 1444 1710 1805 2078 2166 2280 2888 3117 3249 3420 3610 4156 4332 5195 5415 6234 6498 6840 7220 8312 8664 9351 10390 10830 12468 12996 14440 15585 16245 18702 19741 20780 21660 24936 25992 31170 32490 37404 39482 41560 43320 46755 59223 62340 64980 74808 78964 93510 98705 118446 124680 129960 157928 177669 187020 197410 236892 296115 355338 374040 375079 394820 473784 592230 710676 750158 789640 888345 1125237 1184460 1421352 1500316 1776690 1875395 2250474 2368920 3000632 3375711 3553380 3750790 4500948 5626185 6751422 7106760 7501580 9001896 11252370 13502844 15003160 16878555 22504740 27005688 33757110 45009480 67514220 135028440