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134676192 = 25371071873
BaseRepresentation
bin10000000011011…
…11111011100000
3100101102021000010
420001233323200
5233434114232
621210324520
73223504650
oct1001577340
9311367003
10134676192
116a026242
1239129740
1321b95071
1413c5a360
15bc540cc
hex806fee0

134676192 has 96 divisors (see below), whose sum is σ = 408022272. Its totient is φ = 38098944.

The previous prime is 134676187. The next prime is 134676209. The reversal of 134676192 is 291676431.

It is a tau number, because it is divible by the number of its divisors (96).

It is a hoax number, since the sum of its digits (39) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 134676192.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70968 + ... + 72840.

It is an arithmetic number, because the mean of its divisors is an integer number (4250232).

Almost surely, 2134676192 is an apocalyptic number.

134676192 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 134676192, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204011136).

134676192 is an abundant number, since it is smaller than the sum of its proper divisors (273346080).

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

134676192 is a wasteful number, since it uses less digits than its factorization.

134676192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2000 (or 1992 counting only the distinct ones).

The product of its digits is 54432, while the sum is 39.

The square root of 134676192 is about 11605.0071951723. The cubic root of 134676192 is about 512.5823046083.

The spelling of 134676192 in words is "one hundred thirty-four million, six hundred seventy-six thousand, one hundred ninety-two".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 107 112 168 214 224 321 336 428 642 672 749 856 1284 1498 1712 1873 2247 2568 2996 3424 3746 4494 5136 5619 5992 7492 8988 10272 11238 11984 13111 14984 17976 22476 23968 26222 29968 35952 39333 44952 52444 59936 71904 78666 89904 104888 157332 179808 200411 209776 314664 400822 419552 601233 629328 801644 1202466 1258656 1402877 1603288 2404932 2805754 3206576 4208631 4809864 5611508 6413152 8417262 9619728 11223016 16834524 19239456 22446032 33669048 44892064 67338096 134676192