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134272518860304 = 243211831915347127
BaseRepresentation
bin11110100001111011000001…
…110010100010111000010000
3122121102022211201000110211100
4132201323001302202320100
5120044410104312012204
61153323535452544400
740165604121621366
oct3641730162427020
9577368751013740
10134272518860304
11398687234680a0
1213086ab6a82100
1359bcac891b2c6
142522b78955636
15107cb0a2dca39
hex7a1ec1ca2e10

134272518860304 has 240 divisors, whose sum is σ = 417049291137024. Its totient is φ = 39987947078400.

The previous prime is 134272518860287. The next prime is 134272518860323. The reversal of 134272518860304 is 403068815272431.

134272518860304 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 7 + 25 + 1 + 8 + 8 + 603 + 0 + 4 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 22437589 + ... + 27784715.

Almost surely, 2134272518860304 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 134272518860304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208524645568512).

134272518860304 is an abundant number, since it is smaller than the sum of its proper divisors (282776772276720).

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

134272518860304 is a wasteful number, since it uses less digits than its factorization.

134272518860304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5347426 (or 5347417 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 54.

The spelling of 134272518860304 in words is "one hundred thirty-four trillion, two hundred seventy-two billion, five hundred eighteen million, eight hundred sixty thousand, three hundred four".