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135125015155335 = 325171131563132803
BaseRepresentation
bin11110101110010100111110…
…100001110101001010000111
3122201102211021122012022110100
4132232110332201311022013
5120202342012334432320
61155215324111055143
740314313561564302
oct3656247641651207
9581384248168410
10135125015155335
113a067219398287
12131a41722114b3
135a5230786a63a
14255212ad75b39
151094da21bc790
hex7ae53e875287

135125015155335 has 48 divisors (see below), whose sum is σ = 250188784077024. Its totient is φ = 67227215548416.

The previous prime is 135125015155297. The next prime is 135125015155343. The reversal of 135125015155335 is 533551510521531.

135125015155335 is a `hidden beast` number, since 1 + 3 + 5 + 1 + 2 + 50 + 1 + 515 + 53 + 35 = 666.

It is not a de Polignac number, because 135125015155335 - 211 = 135125015153287 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

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, 781479957 + ... + 781652846.

It is an arithmetic number, because the mean of its divisors is an integer number (5212266334938).

Almost surely, 2135125015155335 is an apocalyptic number.

135125015155335 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

135125015155335 is a deficient number, since it is larger than the sum of its proper divisors (115063768921689).

135125015155335 is a wasteful number, since it uses less digits than its factorization.

135125015155335 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1563132944 (or 1563132941 counting only the distinct ones).

The product of its (nonzero) digits is 843750, while the sum is 45.

Adding to 135125015155335 its reverse (533551510521531), we get a palindrome (668676525676866).

The spelling of 135125015155335 in words is "one hundred thirty-five trillion, one hundred twenty-five billion, fifteen million, one hundred fifty-five thousand, three hundred thirty-five".

Divisors: 1 3 5 9 15 17 45 51 85 113 153 255 339 565 765 1017 1695 1921 5085 5763 9605 17289 28815 86445 1563132803 4689398409 7815664015 14068195227 23446992045 26573257651 70340976135 79719772953 132866288255 176634006739 239159318859 398598864765 529902020217 883170033695 1195796594295 1589706060651 2649510101085 3002778114563 7948530303255 9008334343689 15013890572815 27025003031067 45041671718445 135125015155335