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134127169072 = 241321910212557
BaseRepresentation
bin111110011101010011…
…0100010111000110000
3110211012112221011020121
41330322212202320300
54144143023402242
6141341150420024
712455540061151
oct1747246427060
9424175834217
10134127169072
1151979321366
1221bb2b01614
13c856c60300
1466c5683928
153750358667
hex1f3a9a2e30

134127169072 has 120 divisors (see below), whose sum is σ = 296615754960. Its totient is φ = 58566343680.

The previous prime is 134127169039. The next prime is 134127169079. The reversal of 134127169072 is 270961721431.

It is not an unprimeable number, because it can be changed into a prime (134127169079) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 52453618 + ... + 52456174.

It is an arithmetic number, because the mean of its divisors is an integer number (2471797958).

Almost surely, 2134127169072 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 134127169072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (148307877480).

134127169072 is an abundant number, since it is smaller than the sum of its proper divisors (162488585888).

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

134127169072 is a wasteful number, since it uses less digits than its factorization.

134127169072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3631 (or 3612 counting only the distinct ones).

The product of its (nonzero) digits is 127008, while the sum is 43.

The spelling of 134127169072 in words is "one hundred thirty-four billion, one hundred twenty-seven million, one hundred sixty-nine thousand, seventy-two".

Divisors: 1 2 4 8 13 16 19 26 38 52 76 104 152 169 208 247 304 338 494 676 988 1021 1352 1976 2042 2557 2704 3211 3952 4084 5114 6422 8168 10228 12844 13273 16336 19399 20456 25688 26546 33241 38798 40912 48583 51376 53092 66482 77596 97166 106184 132964 155192 172549 194332 212368 252187 265928 310384 345098 388664 432133 504374 531856 631579 690196 777328 864266 1008748 1263158 1380392 1728532 2017496 2526316 2610697 2760784 3278431 3457064 4034992 5052632 5221394 6556862 6914128 8210527 10105264 10442788 13113724 16421054 20885576 26227448 32842108 33939061 41771152 49603243 52454896 65684216 67878122 99206486 131368432 135756244 198412972 271512488 396825944 441207793 543024976 644842159 793651888 882415586 1289684318 1764831172 2579368636 3529662344 5158737272 7059324688 8382948067 10317474544 16765896134 33531792268 67063584536 134127169072