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134958400 = 265284349
BaseRepresentation
bin10000000101101…
…00110101000000
3100101221121010021
420002310311000
5234022132100
621220343224
73226061503
oct1002646500
9311847107
10134958400
116a1a9275
1239244b14
1321c63655
1413cd113a
15bcaca1a
hex80b4d40

134958400 has 42 divisors (see below), whose sum is σ = 332085950. Its totient is φ = 53982720.

The previous prime is 134958391. The next prime is 134958403. The reversal of 134958400 is 4859431.

It can be written as a sum of positive squares in 3 ways, for example, as 9339136 + 125619264 = 3056^2 + 11208^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134958403) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 40575 + ... + 43774.

Almost surely, 2134958400 is an apocalyptic number.

134958400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134958400 is an abundant number, since it is smaller than the sum of its proper divisors (197127550).

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

134958400 is an equidigital number, since it uses as much as digits as its factorization.

134958400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84371 (or 84356 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 34.

The square root of 134958400 is about 11617.1597217220. The cubic root of 134958400 is about 512.9400859976.

The spelling of 134958400 in words is "one hundred thirty-four million, nine hundred fifty-eight thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 160 200 320 400 800 1600 84349 168698 337396 421745 674792 843490 1349584 1686980 2108725 2699168 3373960 4217450 5398336 6747920 8434900 13495840 16869800 26991680 33739600 67479200 134958400