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134550400 = 2752192213
BaseRepresentation
bin10000000010100…
…01001110000000
3100101011212110011
420001101032000
5233421103100
621203514304
73222442135
oct1001211600
9311155404
10134550400
1169a4a786
1239088994
1321b4ca2a
1413c2658c
15bc2bbba
hex8051380

134550400 has 96 divisors (see below), whose sum is σ = 350033400. Its totient is φ = 50964480.

The previous prime is 134550373. The next prime is 134550421. The reversal of 134550400 is 4055431.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59694 + ... + 61906.

Almost surely, 2134550400 is an apocalyptic number.

134550400 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 134550400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175016700).

134550400 is an abundant number, since it is smaller than the sum of its proper divisors (215483000).

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

134550400 is a wasteful number, since it uses less digits than its factorization.

134550400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2256 (or 2239 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 22.

The square root of 134550400 is about 11599.5861995159. The cubic root of 134550400 is about 512.4226653090.

The spelling of 134550400 in words is "one hundred thirty-four million, five hundred fifty thousand, four hundred".

Divisors: 1 2 4 5 8 10 16 19 20 25 32 38 40 50 64 76 80 95 100 128 152 160 190 200 304 320 380 400 475 608 640 760 800 950 1216 1520 1600 1900 2213 2432 3040 3200 3800 4426 6080 7600 8852 11065 12160 15200 17704 22130 30400 35408 42047 44260 55325 60800 70816 84094 88520 110650 141632 168188 177040 210235 221300 283264 336376 354080 420470 442600 672752 708160 840940 885200 1051175 1345504 1416320 1681880 1770400 2102350 2691008 3363760 3540800 4204700 5382016 6727520 7081600 8409400 13455040 16818800 26910080 33637600 67275200 134550400