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135054340000 = 255412753171
BaseRepresentation
bin111110111000111011…
…1011010111110100000
3110220121011120022122121
41331301313122332200
54203042402340000
6142013151114024
712520525643326
oct1756167327640
9426534508577
10135054340000
1152304721628
1222211512914
13c97407b068
146772873d16
1537a6950b1a
hex1f71ddafa0

135054340000 has 120 divisors (see below), whose sum is σ = 334876405248. Its totient is φ = 53595360000.

The previous prime is 135054339919. The next prime is 135054340007. The reversal of 135054340000 is 43450531.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is not an unprimeable number, because it can be changed into a prime (135054340007) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 2513415 + ... + 2566585.

Almost surely, 2135054340000 is an apocalyptic number.

135054340000 is a gapful number since it is divisible by the number (10) 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 135054340000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (167438202624).

135054340000 is an abundant number, since it is smaller than the sum of its proper divisors (199822065248).

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

135054340000 is an equidigital number, since it uses as much as digits as its factorization.

135054340000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53328 (or 53305 counting only the distinct ones).

The product of its (nonzero) digits is 3600, while the sum is 25.

Adding to 135054340000 its reverse (43450531), we get a palindrome (135097790531).

The spelling of 135054340000 in words is "one hundred thirty-five billion, fifty-four million, three hundred forty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 125 127 160 200 250 254 400 500 508 625 635 800 1000 1016 1250 1270 2000 2032 2500 2540 3175 4000 4064 5000 5080 6350 10000 10160 12700 15875 20000 20320 25400 31750 50800 53171 63500 79375 101600 106342 127000 158750 212684 254000 265855 317500 425368 508000 531710 635000 850736 1063420 1270000 1329275 1701472 2126840 2540000 2658550 4253680 5317100 6646375 6752717 8507360 10634200 13292750 13505434 21268400 26585500 27010868 33231875 33763585 42536800 53171000 54021736 66463750 67527170 106342000 108043472 132927500 135054340 168817925 212684000 216086944 265855000 270108680 337635850 531710000 540217360 675271700 844089625 1063420000 1080434720 1350543400 1688179250 2701086800 3376358500 4220448125 5402173600 6752717000 8440896250 13505434000 16881792500 27010868000 33763585000 67527170000 135054340000