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135048527856 = 2434112861191
BaseRepresentation
bin111110111000110000…
…1001111111111110000
3110220120202122000220000
41331301201033333300
54203034410342411
6142012422350000
712520425355314
oct1756141177760
9426522560800
10135048527856
1152301411900
122220b58b300
13c972ac4718
146771b9db44
1537a61a3956
hex1f7184fff0

135048527856 has 150 divisors (see below), whose sum is σ = 429634048536. Its totient is φ = 40923748800.

The previous prime is 135048527839. The next prime is 135048527857. The reversal of 135048527856 is 658725840531.

135048527856 is a `hidden beast` number, since 1 + 3 + 504 + 8 + 52 + 7 + 85 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (135048527857) 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 29 ways as a sum of consecutive naturals, for example, 273780 + ... + 587411.

Almost surely, 2135048527856 is an apocalyptic number.

135048527856 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

135048527856 is an abundant number, since it is smaller than the sum of its proper divisors (294585520680).

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

135048527856 is a wasteful number, since it uses less digits than its factorization.

135048527856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 861233 (or 861207 counting only the distinct ones).

The product of its (nonzero) digits is 8064000, while the sum is 54.

The spelling of 135048527856 in words is "one hundred thirty-five billion, forty-eight million, five hundred twenty-seven thousand, eight hundred fifty-six".

Divisors: 1 2 3 4 6 8 9 11 12 16 18 22 24 27 33 36 44 48 54 66 72 81 88 99 108 121 132 144 162 176 198 216 242 264 297 324 363 396 432 484 528 594 648 726 792 891 968 1089 1188 1296 1452 1584 1782 1936 2178 2376 2904 3267 3564 4356 4752 5808 6534 7128 8712 9801 13068 14256 17424 19602 26136 39204 52272 78408 156816 861191 1722382 2583573 3444764 5167146 6889528 7750719 9473101 10334292 13779056 15501438 18946202 20668584 23252157 28419303 31002876 37892404 41337168 46504314 56838606 62005752 69756471 75784808 85257909 93008628 104204111 113677212 124011504 139512942 151569616 170515818 186017256 208408222 227354424 255773727 279025884 312612333 341031636 372034512 416816444 454708848 511547454 558051768 625224666 682063272 767321181 833632888 937836999 1023094908 1116103536 1250449332 1364126544 1534642362 1667265776 1875673998 2046189816 2500898664 2813510997 3069284724 3751347996 4092379632 5001797328 5627021994 6138569448 7502695992 8440532991 11254043988 12277138896 15005391984 16881065982 22508087976 33762131964 45016175952 67524263928 135048527856