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134285400 = 233252611223
BaseRepresentation
bin10000000000100…
…00100001011000
3100100200101221100
420000100201120
5233334113100
621154111400
73220256424
oct1000204130
9310611840
10134285400
1169889677
1238b7b560
1321a89222
1413b97b84
15bbc8400
hex8010858

134285400 has 144 divisors (see below), whose sum is σ = 458742960. Its totient is φ = 35193600.

The previous prime is 134285387. The next prime is 134285413. The reversal of 134285400 is 4582431.

It is an interprime number because it is at equal distance from previous prime (134285387) and next prime (134285413).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 109189 + ... + 110411.

It is an arithmetic number, because the mean of its divisors is an integer number (3185715).

Almost surely, 2134285400 is an apocalyptic number.

134285400 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 134285400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229371480).

134285400 is an abundant number, since it is smaller than the sum of its proper divisors (324457560).

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

134285400 is a wasteful number, since it uses less digits than its factorization.

134285400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1306 (or 1294 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The square root of 134285400 is about 11588.1577483222. The cubic root of 134285400 is about 512.0860349399.

The spelling of 134285400 in words is "one hundred thirty-four million, two hundred eighty-five thousand, four hundred".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 18 20 24 25 30 36 40 45 50 60 61 72 75 90 100 120 122 150 180 183 200 225 244 300 305 360 366 450 488 549 600 610 732 900 915 1098 1220 1223 1464 1525 1800 1830 2196 2440 2446 2745 3050 3660 3669 4392 4575 4892 5490 6100 6115 7320 7338 9150 9784 10980 11007 12200 12230 13725 14676 18300 18345 21960 22014 24460 27450 29352 30575 36600 36690 44028 48920 54900 55035 61150 73380 74603 88056 91725 109800 110070 122300 146760 149206 183450 220140 223809 244600 275175 298412 366900 373015 440280 447618 550350 596824 671427 733800 746030 895236 1100700 1119045 1342854 1492060 1790472 1865075 2201400 2238090 2685708 2984120 3357135 3730150 4476180 5371416 5595225 6714270 7460300 8952360 11190450 13428540 14920600 16785675 22380900 26857080 33571350 44761800 67142700 134285400