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135747082184 = 2373437914563
BaseRepresentation
bin111111001101100101…
…0000001011111001000
3110222101110002021021112
41332123022001133020
54211002223112214
6142210015025452
712543640106000
oct1763312013710
9428343067245
10135747082184
115262a76402a
122238550b288
13ca54748a8c
1467da87d000
1537e768ca3e
hex1f9b2817c8

135747082184 has 128 divisors (see below), whose sum is σ = 307591680000. Its totient is φ = 56101211712.

The previous prime is 135747082181. The next prime is 135747082189. The reversal of 135747082184 is 481280747531.

It is not an unprimeable number, because it can be changed into a prime (135747082181) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 9314087 + ... + 9328649.

It is an arithmetic number, because the mean of its divisors is an integer number (2403060000).

Almost surely, 2135747082184 is an apocalyptic number.

135747082184 is a gapful number since it is divisible by the number (14) 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 135747082184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153795840000).

135747082184 is an abundant number, since it is smaller than the sum of its proper divisors (171844597816).

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

135747082184 is a wasteful number, since it uses less digits than its factorization.

135747082184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14712 (or 14694 counting only the distinct ones).

The product of its (nonzero) digits is 1505280, while the sum is 50.

The spelling of 135747082184 in words is "one hundred thirty-five billion, seven hundred forty-seven million, eighty-two thousand, one hundred eighty-four".

Divisors: 1 2 4 7 8 14 28 43 49 56 79 86 98 158 172 196 301 316 343 344 392 553 602 632 686 1106 1204 1372 2107 2212 2408 2744 3397 3871 4214 4424 6794 7742 8428 13588 14563 14749 15484 16856 23779 27097 27176 29126 29498 30968 47558 54194 58252 58996 95116 101941 108388 116504 117992 166453 190232 203882 216776 332906 407764 626209 665812 713587 815528 1150477 1165171 1252418 1331624 1427174 2300954 2330342 2504836 2854348 4383463 4601908 4660684 4995109 5009672 5708696 8053339 8766926 9203816 9321368 9990218 16106678 17533852 19980436 30684241 32213356 35067704 39960872 49470511 56373373 61368482 64426712 98941022 112746746 122736964 197882044 214789687 225493492 245473928 346293577 394613611 395764088 429579374 450986984 692587154 789227222 859158748 1385174308 1578454444 1718317496 2424055039 2770348616 3156908888 4848110078 9696220156 16968385273 19392440312 33936770546 67873541092 135747082184