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136136281468272 = 24361352713182487
BaseRepresentation
bin11110111101000010110010…
…101100101010110101110000
3122212000111112112011201211220
4132331002302230222311300
5120320424101023441042
61201312051101505040
740450343651452611
oct3675026254526560
9585014475151756
10136136281468272
113a4170889068a8
1213328159272180
135ac6799c95327
1425890617b3c08
1510b133ca7a8ec
hex7bd0b2b2ad70

136136281468272 has 80 divisors (see below), whose sum is σ = 357552102200832. Its totient is φ = 44622187810560.

The previous prime is 136136281468267. The next prime is 136136281468393. The reversal of 136136281468272 is 272864182631631.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3735813 + ... + 16918299.

Almost surely, 2136136281468272 is an apocalyptic number.

136136281468272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 136136281468272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178776051100416).

136136281468272 is an abundant number, since it is smaller than the sum of its proper divisors (221415820732560).

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

136136281468272 is a wasteful number, since it uses less digits than its factorization.

136136281468272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13186086 (or 13186080 counting only the distinct ones).

The product of its digits is 27869184, while the sum is 60.

The spelling of 136136281468272 in words is "one hundred thirty-six trillion, one hundred thirty-six billion, two hundred eighty-one million, four hundred sixty-eight thousand, two hundred seventy-two".

Divisors: 1 2 3 4 6 8 12 16 24 48 61 122 183 244 366 488 732 976 1464 2928 3527 7054 10581 14108 21162 28216 42324 56432 84648 169296 215147 430294 645441 860588 1290882 1721176 2581764 3442352 5163528 10327056 13182487 26364974 39547461 52729948 79094922 105459896 158189844 210919792 316379688 632759376 804131707 1608263414 2412395121 3216526828 4824790242 6433053656 9649580484 12866107312 19299160968 38598321936 46494631649 92989263298 139483894947 185978526596 278967789894 371957053192 557935579788 743914106384 1115871159576 2231742319152 2836172530589 5672345061178 8508517591767 11344690122356 17017035183534 22689380244712 34034070367068 45378760489424 68068140734136 136136281468272