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138235208484765 = 35717598291583339
BaseRepresentation
bin11111011011100101100100…
…011111110100011110011101
3200010110011020100122201101210
4133123211210133310132131
5121104321201333003030
61210000213400055033
741055110221644450
oct3733454437643635
9603404210581353
10138235208484765
114005624a450357
1213606aab764479
135c196a7957442
14261c8969b9497
1510eac35996bb0
hex7db9647f479d

138235208484765 has 128 divisors (see below), whose sum is σ = 272506747392000. Its totient is φ = 58397356118016.

The previous prime is 138235208484743. The next prime is 138235208484823. The reversal of 138235208484765 is 567484802532831.

It is a happy number.

It is not a de Polignac number, because 138235208484765 - 26 = 138235208484701 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 138235208484696 and 138235208484705.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 86514466 + ... + 88097804.

It is an arithmetic number, because the mean of its divisors is an integer number (2128958964000).

Almost surely, 2138235208484765 is an apocalyptic number.

138235208484765 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

138235208484765 is a deficient number, since it is larger than the sum of its proper divisors (134271538907235).

138235208484765 is a wasteful number, since it uses less digits than its factorization.

138235208484765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1584259.

The product of its (nonzero) digits is 309657600, while the sum is 66.

The spelling of 138235208484765 in words is "one hundred thirty-eight trillion, two hundred thirty-five billion, two hundred eight million, four hundred eighty-four thousand, seven hundred sixty-five".

Divisors: 1 3 5 7 15 17 21 35 51 59 85 105 119 177 255 295 357 413 595 829 885 1003 1239 1785 2065 2487 3009 4145 5015 5803 6195 7021 12435 14093 15045 17409 21063 29015 35105 42279 48911 70465 87045 98651 105315 146733 211395 244555 295953 342377 493255 733665 831487 1027131 1479765 1583339 1711885 2494461 4157435 4750017 5135655 5820409 7916695 11083373 12472305 17461227 23750085 26916763 29102045 33250119 55416865 80750289 87306135 93417001 134583815 166250595 188417341 280251003 403751445 467085005 565252023 653919007 942086705 1312588031 1401255015 1588089017 1961757021 2826260115 3269595035 3937764093 4764267051 6562940155 7940445085 9188116217 9808785105 11116623119 19688820465 22313996527 23821335255 27564348651 33349869357 45940581085 55583115595 66941989581 77442693829 111569982635 137821743255 156197975689 166749346785 232328081487 334709947905 387213469145 468593927067 542098856803 780989878445 1161640407435 1316525795093 1626296570409 2342969635335 2710494284015 3949577385279 6582628975465 8131482852045 9215680565651 19747886926395 27647041696953 46078402828255 138235208484765