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135065265542325 = 32523741907436283
BaseRepresentation
bin11110101101011101010101…
…001011001001010010110101
3122201020010001120202111002100
4132231131111023021102311
5120200402130434323300
61155132043145332313
740310100122342646
oct3655352513112265
9581203046674070
10135065265542325
113a043948288718
1213194678197099
135a497a4c5a041
14254d29d85d6cd
151093556928700
hex7ad7552c94b5

135065265542325 has 144 divisors (see below), whose sum is σ = 254796271119936. Its totient is φ = 68302913817600.

The previous prime is 135065265542323. The next prime is 135065265542351. The reversal of 135065265542325 is 523245562560531.

135065265542325 is a `hidden beast` number, since 1 + 3 + 5 + 0 + 6 + 5 + 2 + 65 + 542 + 32 + 5 = 666.

It is not a de Polignac number, because 135065265542325 - 21 = 135065265542323 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135065265542323) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 309363634 + ... + 309799916.

It is an arithmetic number, because the mean of its divisors is an integer number (1769418549444).

Almost surely, 2135065265542325 is an apocalyptic number.

135065265542325 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

135065265542325 is a deficient number, since it is larger than the sum of its proper divisors (119731005577611).

135065265542325 is a wasteful number, since it uses less digits than its factorization.

135065265542325 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 437284 (or 437276 counting only the distinct ones).

The product of its (nonzero) digits is 32400000, while the sum is 54.

The spelling of 135065265542325 in words is "one hundred thirty-five trillion, sixty-five billion, two hundred sixty-five million, five hundred forty-two thousand, three hundred twenty-five".

Divisors: 1 3 5 9 15 25 37 41 45 75 111 123 185 205 225 333 369 555 615 907 925 1025 1517 1665 1845 2721 2775 3075 4535 4551 7585 8163 8325 9225 13605 13653 22675 22755 33559 37187 37925 40815 68025 68265 100677 111561 113775 167795 185935 204075 302031 334683 341325 436283 503385 557805 838975 929675 1308849 1375919 1510155 1673415 2181415 2516925 2789025 3926547 4127757 6544245 6879595 7550775 8367075 10907075 12383271 16142471 17887603 19632735 20638785 32721225 34397975 48427413 53662809 61916355 80712355 89438015 98163675 103193925 145282239 160988427 242137065 268314045 309581775 395708681 403561775 447190075 661841311 726411195 804942135 1187126043 1210685325 1341570225 1978543405 1985523933 3309206555 3561378129 3632055975 4024710675 5935630215 5956571799 9892717025 9927619665 14641221197 16224055921 16546032775 17806890645 29678151075 29782858995 43923663591 48672167763 49638098325 73206105985 81120279605 89034453225 131770990773 146016503289 148914294975 219618317955 243360838815 366030529925 405601398025 600290069077 658854953865 730082516445 1098091589775 1216804194075 1800870207231 3001450345385 3294274769325 3650412582225 5402610621693 9004351036155 15007251726925 27013053108465 45021755180775 135065265542325