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134475984 = 24331718311
BaseRepresentation
bin10000000001111…
…11000011010000
3100101001002101000
420000333003100
5233411212414
621202142000
73222012156
oct1000770320
9311032330
10134475984
11699a9885
1239051900
1321b24bb6
1413c073d6
15bc14b09
hex803f0d0

134475984 has 80 divisors (see below), whose sum is σ = 408723840. Its totient is φ = 42186240.

The previous prime is 134475973. The next prime is 134476037. The reversal of 134475984 is 489574431.

134475984 is a `hidden beast` number, since 13 + 4 + 47 + 598 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1812 + ... + 16499.

It is an arithmetic number, because the mean of its divisors is an integer number (5109048).

Almost surely, 2134475984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134475984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204361920).

134475984 is an abundant number, since it is smaller than the sum of its proper divisors (274247856).

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

134475984 is a wasteful number, since it uses less digits than its factorization.

134475984 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18345 (or 18333 counting only the distinct ones).

The product of its digits is 483840, while the sum is 45.

The square root of 134475984 is about 11596.3780552378. The cubic root of 134475984 is about 512.3281790862.

The spelling of 134475984 in words is "one hundred thirty-four million, four hundred seventy-five thousand, nine hundred eighty-four".

Divisors: 1 2 3 4 6 8 9 12 16 17 18 24 27 34 36 48 51 54 68 72 102 108 136 144 153 204 216 272 306 408 432 459 612 816 918 1224 1836 2448 3672 7344 18311 36622 54933 73244 109866 146488 164799 219732 292976 311287 329598 439464 494397 622574 659196 878928 933861 988794 1245148 1318392 1867722 1977588 2490296 2636784 2801583 3735444 3955176 4980592 5603166 7470888 7910352 8404749 11206332 14941776 16809498 22412664 33618996 44825328 67237992 134475984