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148766085 = 33513293779
BaseRepresentation
bin10001101110111…
…11110110000101
3101100221002201000
420313133312011
5301041003320
622432323513
73454330236
oct1067376605
9340832630
10148766085
1176a7a186
12419a3599
1324a89390
1415a8708d
15d0d8c90
hex8ddfd85

148766085 has 128 divisors (see below), whose sum is σ = 306432000. Its totient is φ = 67931136.

The previous prime is 148766077. The next prime is 148766113. The reversal of 148766085 is 580667841.

It is a happy number.

It is not a de Polignac number, because 148766085 - 23 = 148766077 is a prime.

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

It is a self number, because there is not a number n which added to its sum of digits gives 148766085.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1883076 + ... + 1883154.

It is an arithmetic number, because the mean of its divisors is an integer number (2394000).

Almost surely, 2148766085 is an apocalyptic number.

148766085 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

148766085 is an abundant number, since it is smaller than the sum of its proper divisors (157665915).

148766085 is a wasteful number, since it uses less digits than its factorization.

148766085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 166 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The square root of 148766085 is about 12196.9703205345. The cubic root of 148766085 is about 529.8683486938.

The spelling of 148766085 in words is "one hundred forty-eight million, seven hundred sixty-six thousand, eighty-five".

Divisors: 1 3 5 9 13 15 27 29 37 39 45 65 79 87 111 117 135 145 185 195 237 261 333 351 377 395 435 481 555 585 711 783 999 1027 1073 1131 1185 1305 1443 1665 1755 1885 2133 2291 2405 2923 3081 3219 3393 3555 3915 4329 4995 5135 5365 5655 6873 7215 8769 9243 9657 10179 10665 11455 12987 13949 14615 15405 16095 16965 20619 21645 26307 27729 28971 29783 34365 37999 41847 43845 46215 48285 50895 61857 64935 69745 78921 84767 89349 103095 113997 125541 131535 138645 144855 148915 189995 209235 254301 268047 309285 341991 376623 394605 423835 446745 569985 627705 762903 804141 1025973 1101971 1271505 1340235 1709955 1883115 2288709 3305913 3814515 4020705 5129865 5509855 9917739 11443545 16529565 29753217 49588695 148766085