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135242654125650 = 235253116571459351
BaseRepresentation
bin11110110000000010100010…
…010110111000111001010010
3122201212001221002200012002220
4132300002202112320321102
5120211303423424010100
61155345341222321510
740325650021412241
oct3660024226707122
9581761832605086
10135242654125650
113a1020a65378a5
1213202b23289296
135a60434862006
142557aca8c4958
151097e89c48aa0
hex7b00a25b8e52

135242654125650 has 96 divisors (see below), whose sum is σ = 341759667374208. Its totient is φ = 35381181888000.

The previous prime is 135242654125633. The next prime is 135242654125727. The reversal of 135242654125650 is 56521456242531.

It is a junction number, because it is equal to n+sod(n) for n = 135242654125593 and 135242654125602.

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, 91943475 + ... + 93402825.

It is an arithmetic number, because the mean of its divisors is an integer number (3559996535148).

Almost surely, 2135242654125650 is an apocalyptic number.

135242654125650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 135242654125650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170879833687104).

135242654125650 is an abundant number, since it is smaller than the sum of its proper divisors (206517013248558).

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

135242654125650 is a wasteful number, since it uses less digits than its factorization.

135242654125650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1471076 (or 1471071 counting only the distinct ones).

The product of its (nonzero) digits is 8640000, while the sum is 51.

The spelling of 135242654125650 in words is "one hundred thirty-five trillion, two hundred forty-two billion, six hundred fifty-four million, one hundred twenty-five thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 15 25 30 50 53 75 106 150 159 265 318 530 795 1325 1590 2650 3975 7950 11657 23314 34971 58285 69942 116570 174855 291425 349710 582850 617821 874275 1235642 1459351 1748550 1853463 2918702 3089105 3706926 4378053 6178210 7296755 8756106 9267315 14593510 15445525 18534630 21890265 30891050 36483775 43780530 46336575 72967550 77345603 92673150 109451325 154691206 218902650 232036809 386728015 464073618 773456030 1160184045 1933640075 2320368090 3867280150 5800920225 11601840450 17011654607 34023309214 51034963821 85058273035 102069927642 170116546070 255174819105 425291365175 510349638210 850582730350 901617694171 1275874095525 1803235388342 2551748191050 2704853082513 4508088470855 5409706165026 9016176941710 13524265412565 22540442354275 27048530825130 45080884708550 67621327062825 135242654125650