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134546112 = 26321092143
BaseRepresentation
bin10000000010100…
…00001011000000
3100101011122120100
420001100023000
5233420433422
621203442400
73222423501
oct1001201300
9311148510
10134546112
1169a47538
1239086400
1321b4aaac
1413c24ba8
15bc2a7ac
hex80502c0

134546112 has 84 divisors (see below), whose sum is σ = 389371840. Its totient is φ = 44416512.

The previous prime is 134546099. The next prime is 134546123. The reversal of 134546112 is 211645431.

It is a happy number.

134546112 is a `hidden beast` number, since 1 + 3 + 4 + 546 + 112 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 61713 + ... + 63855.

Almost surely, 2134546112 is an apocalyptic number.

134546112 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134546112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (194685920).

134546112 is an abundant number, since it is smaller than the sum of its proper divisors (254825728).

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

134546112 is a wasteful number, since it uses less digits than its factorization.

134546112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2270 (or 2257 counting only the distinct ones).

The product of its digits is 2880, while the sum is 27.

The square root of 134546112 is about 11599.4013638636. The cubic root of 134546112 is about 512.4172217683.

The spelling of 134546112 in words is "one hundred thirty-four million, five hundred forty-six thousand, one hundred twelve".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 64 72 96 109 144 192 218 288 327 436 576 654 872 981 1308 1744 1962 2143 2616 3488 3924 4286 5232 6429 6976 7848 8572 10464 12858 15696 17144 19287 20928 25716 31392 34288 38574 51432 62784 68576 77148 102864 137152 154296 205728 233587 308592 411456 467174 617184 700761 934348 1234368 1401522 1868696 2102283 2803044 3737392 4204566 5606088 7474784 8409132 11212176 14949568 16818264 22424352 33636528 44848704 67273056 134546112