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134301200 = 245211131233
BaseRepresentation
bin10000000000101…
…00011000010000
3100100201012121112
420000110120100
5233340114300
621154312452
73220353455
oct1000243020
9310635545
10134301200
116989a530
1238b88728
1321a93487
1413b9d82c
15bbcce35
hex8014610

134301200 has 120 divisors (see below), whose sum is σ = 356200416. Its totient is φ = 48256000.

The previous prime is 134301197. The next prime is 134301203. The reversal of 134301200 is 2103431.

It is an interprime number because it is at equal distance from previous prime (134301197) and next prime (134301203).

It is not an unprimeable number, because it can be changed into a prime (134301203) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 576284 + ... + 576516.

Almost surely, 2134301200 is an apocalyptic number.

134301200 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 134301200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178100208).

134301200 is an abundant number, since it is smaller than the sum of its proper divisors (221899216).

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

134301200 is a wasteful number, since it uses less digits than its factorization.

134301200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 393 (or 382 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 134301200 is about 11588.8394587206. The cubic root of 134301200 is about 512.1061181409.

Adding to 134301200 its reverse (2103431), we get a palindrome (136404631).

The spelling of 134301200 in words is "one hundred thirty-four million, three hundred one thousand, two hundred".

Divisors: 1 2 4 5 8 10 11 16 20 22 25 40 44 50 55 80 88 100 110 131 176 200 220 233 262 275 400 440 466 524 550 655 880 932 1048 1100 1165 1310 1441 1864 2096 2200 2330 2563 2620 2882 3275 3728 4400 4660 5126 5240 5764 5825 6550 7205 9320 10252 10480 11528 11650 12815 13100 14410 18640 20504 23056 23300 25630 26200 28820 30523 36025 41008 46600 51260 52400 57640 61046 64075 72050 93200 102520 115280 122092 128150 144100 152615 205040 244184 256300 288200 305230 335753 488368 512600 576400 610460 671506 763075 1025200 1220920 1343012 1526150 1678765 2441840 2686024 3052300 3357530 5372048 6104600 6715060 8393825 12209200 13430120 16787650 26860240 33575300 67150600 134301200