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135130722216 = 23372359592741
BaseRepresentation
bin111110111011001101…
…0110010111110101000
3110220210111021221100120
41331312122302332220
54203221431102331
6142024520203240
712522444121110
oct1756632627650
9426714257316
10135130722216
1152343851726
1222233009520
13c986b42839
14677ca78040
1537ad4dc796
hex1f766b2fa8

135130722216 has 128 divisors (see below), whose sum is σ = 409703270400. Its totient is φ = 36304139520.

The previous prime is 135130722131. The next prime is 135130722229. The reversal of 135130722216 is 612227031531.

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 31 ways as a sum of consecutive naturals, for example, 68395 + ... + 524346.

It is an arithmetic number, because the mean of its divisors is an integer number (3200806800).

Almost surely, 2135130722216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135130722216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204851635200).

135130722216 is an abundant number, since it is smaller than the sum of its proper divisors (274572548184).

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

135130722216 is a wasteful number, since it uses less digits than its factorization.

135130722216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 592839 (or 592835 counting only the distinct ones).

The product of its (nonzero) digits is 15120, while the sum is 33.

Adding to 135130722216 its reverse (612227031531), we get a palindrome (747357753747).

The spelling of 135130722216 in words is "one hundred thirty-five billion, one hundred thirty million, seven hundred twenty-two thousand, two hundred sixteen".

Divisors: 1 2 3 4 6 7 8 12 14 21 23 24 28 42 46 56 59 69 84 92 118 138 161 168 177 184 236 276 322 354 413 472 483 552 644 708 826 966 1239 1288 1357 1416 1652 1932 2478 2714 3304 3864 4071 4956 5428 8142 9499 9912 10856 16284 18998 28497 32568 37996 56994 75992 113988 227976 592741 1185482 1778223 2370964 3556446 4149187 4741928 7112892 8298374 12447561 13633043 14225784 16596748 24895122 27266086 33193496 34971719 40899129 49790244 54532172 69943438 81798258 95431301 99580488 104915157 109064344 139886876 163596516 190862602 209830314 244802033 279773752 286293903 327193032 381725204 419660628 489604066 572587806 734406099 763450408 804349537 839321256 979208132 1145175612 1468812198 1608699074 1958416264 2290351224 2413048611 2937624396 3217398148 4826097222 5630446759 5875248792 6434796296 9652194444 11260893518 16891340277 19304388888 22521787036 33782680554 45043574072 67565361108 135130722216