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134385920 = 285671567
BaseRepresentation
bin10000000001010…
…01000100000000
3100100212111211022
420000221010000
5233400322140
621200205012
73221155454
oct1000510400
9310774738
10134385920
1169948149
1239009768
1321ac2bc6
1413bc2664
15bbe80b5
hex8029100

134385920 has 72 divisors (see below), whose sum is σ = 326909184. Its totient is φ = 52918272.

The previous prime is 134385907. The next prime is 134385949. The reversal of 134385920 is 29583431.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84977 + ... + 86543.

Almost surely, 2134385920 is an apocalyptic number.

134385920 is a gapful number since it is divisible by the number (10) 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 134385920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163454592).

134385920 is an abundant number, since it is smaller than the sum of its proper divisors (192523264).

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

134385920 is an equidigital number, since it uses as much as digits as its factorization.

134385920 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1655 (or 1641 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 35.

The square root of 134385920 is about 11592.4941233541. The cubic root of 134385920 is about 512.2137779153.

The spelling of 134385920 in words is "one hundred thirty-four million, three hundred eighty-five thousand, nine hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 67 80 128 134 160 256 268 320 335 536 640 670 1072 1280 1340 1567 2144 2680 3134 4288 5360 6268 7835 8576 10720 12536 15670 17152 21440 25072 31340 42880 50144 62680 85760 100288 104989 125360 200576 209978 250720 401152 419956 501440 524945 839912 1002880 1049890 1679824 2005760 2099780 3359648 4199560 6719296 8399120 13438592 16798240 26877184 33596480 67192960 134385920