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135443523320 = 23572354738449
BaseRepresentation
bin111111000100100010…
…0000010011011111000
3110221121021212212210122
41332021010002123320
54204342020221240
6142115532432412
712533262644510
oct1761104023370
9427537785718
10135443523320
1152494379836
12222bb918708
13ca068a3151
1467ac420840
1537cabc94b5
hex1f891026f8

135443523320 has 128 divisors (see below), whose sum is σ = 364099968000. Its totient is φ = 44336388096.

The previous prime is 135443523307. The next prime is 135443523323. The reversal of 135443523320 is 23325344531.

It is a Harshad number since it is a multiple of its sum of digits (35).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135443523323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3503456 + ... + 3541904.

It is an arithmetic number, because the mean of its divisors is an integer number (2844531000).

Almost surely, 2135443523320 is an apocalyptic number.

135443523320 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 135443523320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182049984000).

135443523320 is an abundant number, since it is smaller than the sum of its proper divisors (228656444680).

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

135443523320 is a wasteful number, since it uses less digits than its factorization.

135443523320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 39037 (or 39033 counting only the distinct ones).

The product of its (nonzero) digits is 129600, while the sum is 35.

Adding to 135443523320 its reverse (23325344531), we get a palindrome (158768867851).

The spelling of 135443523320 in words is "one hundred thirty-five billion, four hundred forty-three million, five hundred twenty-three thousand, three hundred twenty".

Divisors: 1 2 4 5 7 8 10 14 20 23 28 35 40 46 56 70 92 115 140 161 184 230 280 322 460 547 644 805 920 1094 1288 1610 2188 2735 3220 3829 4376 5470 6440 7658 10940 12581 15316 19145 21880 25162 30632 38290 38449 50324 62905 76580 76898 88067 100648 125810 153160 153796 176134 192245 251620 269143 307592 352268 384490 440335 503240 538286 704536 768980 880670 884327 1076572 1345715 1537960 1761340 1768654 2153144 2691430 3522680 3537308 4421635 5382860 6190289 7074616 8843270 10765720 12380578 17686540 21031603 24761156 30951445 35373080 42063206 49522312 61902890 84126412 105158015 123805780 147221221 168252824 210316030 247611560 294442442 420632060 483726869 588884884 736106105 841264120 967453738 1177769768 1472212210 1934907476 2418634345 2944424420 3386088083 3869814952 4837268690 5888848840 6772176166 9674537380 13544352332 16930440415 19349074760 27088704664 33860880830 67721761660 135443523320