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134691200 = 275272859
BaseRepresentation
bin10000000011100…
…11100110000000
3100101110000120222
420001303212000
5233440104300
621210522212
73223566500
oct1001634600
9311400528
10134691200
116a036546
1239136368
1321b9bb47
1413c61a00
15bc58785
hex8073980

134691200 has 144 divisors (see below), whose sum is σ = 387503100. Its totient is φ = 46126080.

The previous prime is 134691199. The next prime is 134691203. The reversal of 134691200 is 2196431.

It is a self number, because there is not a number n which added to its sum of digits gives 134691200.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134691203) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 156371 + ... + 157229.

Almost surely, 2134691200 is an apocalyptic number.

134691200 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 134691200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193751550).

134691200 is an abundant number, since it is smaller than the sum of its proper divisors (252811900).

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

134691200 is an equidigital number, since it uses as much as digits as its factorization.

134691200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 897 (or 873 counting only the distinct ones).

The product of its (nonzero) digits is 1296, while the sum is 26.

The square root of 134691200 is about 11605.6537945951. The cubic root of 134691200 is about 512.6013442257.

The spelling of 134691200 in words is "one hundred thirty-four million, six hundred ninety-one thousand, two hundred".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 49 50 56 64 70 80 98 100 112 128 140 160 175 196 200 224 245 280 320 350 392 400 448 490 560 640 700 784 800 859 896 980 1120 1225 1400 1568 1600 1718 1960 2240 2450 2800 3136 3200 3436 3920 4295 4480 4900 5600 6013 6272 6872 7840 8590 9800 11200 12026 13744 15680 17180 19600 21475 22400 24052 27488 30065 31360 34360 39200 42091 42950 48104 54976 60130 68720 78400 84182 85900 96208 109952 120260 137440 150325 156800 168364 171800 192416 210455 240520 274880 300650 336728 343600 384832 420910 481040 549760 601300 673456 687200 769664 841820 962080 1052275 1202600 1346912 1374400 1683640 1924160 2104550 2405200 2693824 2748800 3367280 3848320 4209100 4810400 5387648 6734560 8418200 9620800 13469120 16836400 19241600 26938240 33672800 67345600 134691200