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134225400 = 23352349641
BaseRepresentation
bin10000000000000…
…01110111111000
3100100120100122010
420000001313320
5233330203100
621152525520
73216616461
oct1000016770
9310510563
10134225400
1169848591
1238b508a0
1321a67b1a
1413b7dd68
15bbb5750
hex8001df8

134225400 has 96 divisors (see below), whose sum is σ = 417942000. Its totient is φ = 35635200.

The previous prime is 134225363. The next prime is 134225417. The reversal of 134225400 is 4522431.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 209080 + ... + 209720.

Almost surely, 2134225400 is an apocalyptic number.

134225400 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 134225400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208971000).

134225400 is an abundant number, since it is smaller than the sum of its proper divisors (283716600).

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

134225400 is a wasteful number, since it uses less digits than its factorization.

134225400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1009 (or 1000 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 21.

The square root of 134225400 is about 11585.5686092656. The cubic root of 134225400 is about 512.0097552666.

Adding to 134225400 its reverse (4522431), we get a palindrome (138747831).

It can be divided in two parts, 1 and 34225400, that added together give a triangular number (34225401 = T8273).

The spelling of 134225400 in words is "one hundred thirty-four million, two hundred twenty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 20 24 25 30 40 50 60 75 100 120 150 200 300 349 600 641 698 1047 1282 1396 1745 1923 2094 2564 2792 3205 3490 3846 4188 5128 5235 6410 6980 7692 8376 8725 9615 10470 12820 13960 15384 16025 17450 19230 20940 25640 26175 32050 34900 38460 41880 48075 52350 64100 69800 76920 96150 104700 128200 192300 209400 223709 384600 447418 671127 894836 1118545 1342254 1789672 2237090 2684508 3355635 4474180 5369016 5592725 6711270 8948360 11185450 13422540 16778175 22370900 26845080 33556350 44741800 67112700 134225400