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134964306688 = 281771577757
BaseRepresentation
bin111110110110001111…
…1111110001100000000
3110220100220011011011111
41331230133332030000
54202401330303223
6142000213253104
712515353451461
oct1755437761400
9426326134144
10134964306688
1152268918232
12221a7334194
13c95b516c03
146764918d68
15379dab930d
hex1f6c7fe300

134964306688 has 144 divisors (see below), whose sum is σ = 290150247744. Its totient is φ = 62426972160.

The previous prime is 134964306677. The next prime is 134964306689. The reversal of 134964306688 is 886603469431.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (134964306689) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 178288006 + ... + 178288762.

It is an arithmetic number, because the mean of its divisors is an integer number (2014932276).

Almost surely, 2134964306688 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 134964306688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (145075123872).

134964306688 is an abundant number, since it is smaller than the sum of its proper divisors (155185941056).

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

134964306688 is an equidigital number, since it uses as much as digits as its factorization.

134964306688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1438 (or 1424 counting only the distinct ones).

The product of its (nonzero) digits is 17915904, while the sum is 58.

The spelling of 134964306688 in words is "one hundred thirty-four billion, nine hundred sixty-four million, three hundred six thousand, six hundred eighty-eight".

Divisors: 1 2 4 8 16 17 32 34 64 68 71 128 136 142 256 272 284 544 568 577 757 1088 1136 1154 1207 1514 2176 2272 2308 2414 3028 4352 4544 4616 4828 6056 9088 9232 9656 9809 12112 12869 18176 18464 19312 19618 24224 25738 36928 38624 39236 40967 48448 51476 53747 73856 77248 78472 81934 96896 102952 107494 147712 154496 156944 163868 193792 205904 214988 308992 313888 327736 411808 429976 436789 627776 655472 696439 823616 859952 873578 913699 1255552 1310944 1392878 1647232 1719904 1747156 1827398 2511104 2621888 2785756 3294464 3439808 3494312 3654796 5243776 5571512 6879616 6988624 7309592 7425413 10487552 11143024 13759232 13977248 14619184 14850826 22286048 27954496 29238368 29701652 31012019 44572096 55908992 58476736 59403304 62024038 89144192 111817984 116953472 118806608 124048076 178288384 233906944 237613216 248096152 475226432 496192304 527204323 950452864 992384608 1054408646 1900905728 1984769216 2108817292 3969538432 4217634584 7939076864 8435269168 16870538336 33741076672 67482153344 134964306688