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135020304 = 243323107127
BaseRepresentation
bin10000000110000…
…11111100010000
3100102001202001000
420003003330100
5234031122204
621221542000
73226440126
oct1003037420
9312052030
10135020304
116a240831
1239274900
1321c85893
1413d09916
15bcc1039
hex80c3f10

135020304 has 160 divisors (see below), whose sum is σ = 411402240. Its totient is φ = 42311808.

The previous prime is 135020299. The next prime is 135020321. The reversal of 135020304 is 403020531.

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

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 1063089 + ... + 1063215.

It is an arithmetic number, because the mean of its divisors is an integer number (2571264).

Almost surely, 2135020304 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135020304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205701120).

135020304 is an abundant number, since it is smaller than the sum of its proper divisors (276381936).

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

135020304 is a wasteful number, since it uses less digits than its factorization.

135020304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 274 (or 262 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 18.

The square root of 135020304 is about 11619.8237508148. The cubic root of 135020304 is about 513.0185007520.

Adding to 135020304 its reverse (403020531), we get a palindrome (538040835).

The spelling of 135020304 in words is "one hundred thirty-five million, twenty thousand, three hundred four".

Divisors: 1 2 3 4 6 8 9 12 16 18 23 24 27 36 46 48 54 69 72 92 107 108 127 138 144 184 207 214 216 254 276 321 368 381 414 428 432 508 552 621 642 762 828 856 963 1016 1104 1143 1242 1284 1524 1656 1712 1926 2032 2286 2461 2484 2568 2889 2921 3048 3312 3429 3852 4572 4922 4968 5136 5778 5842 6096 6858 7383 7704 8763 9144 9844 9936 11556 11684 13589 13716 14766 15408 17526 18288 19688 22149 23112 23368 26289 27178 27432 29532 35052 39376 40767 44298 46224 46736 52578 54356 54864 59064 66447 70104 78867 81534 88596 105156 108712 118128 122301 132894 140208 157734 163068 177192 210312 217424 244602 265788 312547 315468 326136 354384 366903 420624 489204 531576 625094 630936 652272 733806 937641 978408 1063152 1250188 1261872 1467612 1875282 1956816 2500376 2812923 2935224 3750564 5000752 5625846 5870448 7501128 8438769 11251692 15002256 16877538 22503384 33755076 45006768 67510152 135020304