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135132466500 = 22325343698359
BaseRepresentation
bin111110111011010000…
…1011100110101000100
3110220210121120120001200
41331312201130311010
54203222402412000
6142025021422500
712522465004353
oct1756641346504
9426717516050
10135132466500
1152344833189
122223370aa30
13c987303765
14677cdad99a
1537ad734500
hex1f7685cd44

135132466500 has 144 divisors (see below), whose sum is σ = 436212416640. Its totient is φ = 35197243200.

The previous prime is 135132466499. The next prime is 135132466517. The reversal of 135132466500 is 5664231531.

135132466500 is a `hidden beast` number, since 1 + 351 + 3 + 246 + 65 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 155680 + ... + 542679.

Almost surely, 2135132466500 is an apocalyptic number.

135132466500 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135132466500 is an abundant number, since it is smaller than the sum of its proper divisors (301079950140).

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

135132466500 is a wasteful number, since it uses less digits than its factorization.

135132466500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 698427 (or 698412 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135132466500 in words is "one hundred thirty-five billion, one hundred thirty-two million, four hundred sixty-six thousand, five hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 43 45 50 60 75 86 90 100 125 129 150 172 180 215 225 250 258 300 375 387 430 450 500 516 645 750 774 860 900 1075 1125 1290 1500 1548 1935 2150 2250 2580 3225 3870 4300 4500 5375 6450 7740 9675 10750 12900 16125 19350 21500 32250 38700 48375 64500 96750 193500 698359 1396718 2095077 2793436 3491795 4190154 6285231 6983590 8380308 10475385 12570462 13967180 17458975 20950770 25140924 30029437 31426155 34917950 41901540 52376925 60058874 62852310 69835900 87294875 90088311 104753850 120117748 125704620 150147185 157130775 174589750 180176622 209507700 261884625 270264933 300294370 314261550 349179500 360353244 450441555 523769250 540529866 600588740 628523100 750735925 785653875 900883110 1047538500 1081059732 1351324665 1501471850 1571307750 1801766220 2252207775 2702649330 3002943700 3142615500 3753679625 4504415550 5405298660 6756623325 7507359250 9008831100 11261038875 13513246650 15014718500 22522077750 27026493300 33783116625 45044155500 67566233250 135132466500