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134558720 = 210541641
BaseRepresentation
bin10000000010100…
…11010000000000
3100101012021212022
420001103100000
5233421334340
621204021012
73222505322
oct1001232000
9311167768
10134558720
1169a55a5a
1239091768
1321b5375a
1413c29612
15bc2e3b5
hex8053400

134558720 has 88 divisors (see below), whose sum is σ = 331171848. Its totient is φ = 52428800.

The previous prime is 134558707. The next prime is 134558759. The reversal of 134558720 is 27855431.

It is a happy number.

134558720 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 9834496 + 124724224 = 3136^2 + 11168^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 209600 + ... + 210240.

Almost surely, 2134558720 is an apocalyptic number.

134558720 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 134558720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165585924).

134558720 is an abundant number, since it is smaller than the sum of its proper divisors (196613128).

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

134558720 is an equidigital number, since it uses as much as digits as its factorization.

134558720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 707 (or 689 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 35.

The square root of 134558720 is about 11599.9448274550. The cubic root of 134558720 is about 512.4332270730.

The spelling of 134558720 in words is "one hundred thirty-four million, five hundred fifty-eight thousand, seven hundred twenty".

Divisors: 1 2 4 5 8 10 16 20 32 40 41 64 80 82 128 160 164 205 256 320 328 410 512 640 641 656 820 1024 1280 1282 1312 1640 2560 2564 2624 3205 3280 5120 5128 5248 6410 6560 10256 10496 12820 13120 20512 20992 25640 26240 26281 41024 41984 51280 52480 52562 82048 102560 104960 105124 131405 164096 205120 209920 210248 262810 328192 410240 420496 525620 656384 820480 840992 1051240 1640960 1681984 2102480 3281920 3363968 4204960 6727936 8409920 13455872 16819840 26911744 33639680 67279360 134558720