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136114728064 = 277197995461
BaseRepresentation
bin111111011000100010…
…0011110110010000000
3111000100001212121121121
41332301010132302000
54212230332244224
6142310311002024
712556023045610
oct1766104366200
9430301777547
10136114728064
11527a92408a7
1222468669314
13cab296ca13
146833620a40
153819aaebe4
hex1fb111ec80

136114728064 has 64 divisors (see below), whose sum is σ = 326214849600. Its totient is φ = 55264619520.

The previous prime is 136114728047. The next prime is 136114728133. The reversal of 136114728064 is 460827411631.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 136114728064.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3980707 + ... + 4014754.

It is an arithmetic number, because the mean of its divisors is an integer number (5097107025).

Almost surely, 2136114728064 is an apocalyptic number.

136114728064 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

136114728064 is an abundant number, since it is smaller than the sum of its proper divisors (190100121536).

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

136114728064 is an equidigital number, since it uses as much as digits as its factorization.

136114728064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7995501 (or 7995489 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 43.

The spelling of 136114728064 in words is "one hundred thirty-six billion, one hundred fourteen million, seven hundred twenty-eight thousand, sixty-four".

Divisors: 1 2 4 7 8 14 16 19 28 32 38 56 64 76 112 128 133 152 224 266 304 448 532 608 896 1064 1216 2128 2432 4256 8512 17024 7995461 15990922 31981844 55968227 63963688 111936454 127927376 151913759 223872908 255854752 303827518 447745816 511709504 607655036 895491632 1023419008 1063396313 1215310072 1790983264 2126792626 2430620144 3581966528 4253585252 4861240288 7163933056 8507170504 9722480576 17014341008 19444961152 34028682016 68057364032 136114728064