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135043440 = 24357312593
BaseRepresentation
bin10000000110010…
…01100101110000
3100102002220202220
420003021211300
5234032342230
621222241040
73226564440
oct1003114560
9312086686
10135043440
116a257154
1239286180
1321c9327c
1413d14120
15bcc7d10
hex80c9970

135043440 has 160 divisors (see below), whose sum is σ = 494063616. Its totient is φ = 29859840.

The previous prime is 135043387. The next prime is 135043481. The reversal of 135043440 is 44340531.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a self number, because there is not a number n which added to its sum of digits gives 135043440.

It is a congruent number.

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, 50784 + ... + 53376.

Almost surely, 2135043440 is an apocalyptic number.

135043440 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 135043440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247031808).

135043440 is an abundant number, since it is smaller than the sum of its proper divisors (359020176).

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

135043440 is a wasteful number, since it uses less digits than its factorization.

135043440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2647 (or 2641 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 24.

The square root of 135043440 is about 11620.8192482286. The cubic root of 135043440 is about 513.0478013283.

Adding to 135043440 its reverse (44340531), we get a palindrome (179383971).

The spelling of 135043440 in words is "one hundred thirty-five million, forty-three thousand, four hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 31 35 40 42 48 56 60 62 70 80 84 93 105 112 120 124 140 155 168 186 210 217 240 248 280 310 336 372 420 434 465 496 560 620 651 744 840 868 930 1085 1240 1302 1488 1680 1736 1860 2170 2480 2593 2604 3255 3472 3720 4340 5186 5208 6510 7440 7779 8680 10372 10416 12965 13020 15558 17360 18151 20744 25930 26040 31116 36302 38895 41488 51860 52080 54453 62232 72604 77790 80383 90755 103720 108906 124464 145208 155580 160766 181510 207440 217812 241149 272265 290416 311160 321532 363020 401915 435624 482298 544530 562681 622320 643064 726040 803830 871248 964596 1089060 1125362 1205745 1286128 1452080 1607660 1688043 1929192 2178120 2250724 2411490 2813405 3215320 3376086 3858384 4356240 4501448 4822980 5626810 6430640 6752172 8440215 9002896 9645960 11253620 13504344 16880430 19291920 22507240 27008688 33760860 45014480 67521720 135043440