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135208545990 = 235710349912527
BaseRepresentation
bin111110111101100001…
…1101010111011000110
3110220222220201210111120
41331323003222323012
54203401341432430
6142040340214410
712524410451430
oct1757303527306
9426886653446
10135208545990
11523837768a1
122225509a406
13c999cc04cb
146789135650
1537b5261610
hex1f7b0eaec6

135208545990 has 128 divisors (see below), whose sum is σ = 375238656000. Its totient is φ = 30540993408.

The previous prime is 135208545971. The next prime is 135208546021. The reversal of 135208545990 is 99545802531.

It is a happy number.

It is a Curzon number.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 10787107 + ... + 10799633.

It is an arithmetic number, because the mean of its divisors is an integer number (2931552000).

Almost surely, 2135208545990 is an apocalyptic number.

135208545990 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 135208545990, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187619328000).

135208545990 is an abundant number, since it is smaller than the sum of its proper divisors (240030110010).

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

135208545990 is a wasteful number, since it uses less digits than its factorization.

135208545990 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13146.

The product of its (nonzero) digits is 1944000, while the sum is 51.

The spelling of 135208545990 in words is "one hundred thirty-five billion, two hundred eight million, five hundred forty-five thousand, nine hundred ninety".

Divisors: 1 2 3 5 6 7 10 14 15 21 30 35 42 70 103 105 206 210 309 499 515 618 721 998 1030 1442 1497 1545 2163 2495 2994 3090 3493 3605 4326 4990 6986 7210 7485 10479 10815 12527 14970 17465 20958 21630 25054 34930 37581 51397 52395 62635 75162 87689 102794 104790 125270 154191 175378 187905 256985 263067 308382 359779 375810 438445 513970 526134 719558 770955 876890 1079337 1290281 1315335 1541910 1798895 2158674 2580562 2630670 3597790 3870843 5396685 6250973 6451405 7741686 9031967 10793370 12501946 12902810 18063934 18752919 19354215 27095901 31254865 37505838 38708430 43756811 45159835 54191802 62509730 87513622 90319670 93764595 131270433 135479505 187529190 218784055 262540866 270959010 437568110 643850219 656352165 1287700438 1312704330 1931550657 3219251095 3863101314 4506951533 6438502190 9013903066 9657753285 13520854599 19315506570 22534757665 27041709198 45069515330 67604272995 135208545990