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134400 = 283527
BaseRepresentation
bin100000110100000000
320211100210
4200310000
513300100
62514120
71066560
oct406400
9224323
10134400
1191a82
1265940
1349236
1436da0
1529c50
hex20d00

134400 has 108 divisors (see below), whose sum is σ = 506912. Its totient is φ = 30720.

The previous prime is 134399. The next prime is 134401. The reversal of 134400 is 4431.

It is an interprime number because it is at equal distance from previous prime (134399) and next prime (134401).

It is a Harshad number since it is a multiple of its sum of digits (12).

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134401) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 19197 + ... + 19203.

2134400 is an apocalyptic number.

134400 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 134400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (253456).

134400 is an abundant number, since it is smaller than the sum of its proper divisors (372512).

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

134400 is an equidigital number, since it uses as much as digits as its factorization.

134400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36 (or 17 counting only the distinct ones).

The product of its (nonzero) digits is 48, while the sum is 12.

The square root of 134400 is about 366.6060555965. The cubic root of 134400 is about 51.2231665995.

Adding to 134400 its reverse (4431), we get a palindrome (138831).

The spelling of 134400 in words is "one hundred thirty-four thousand, four hundred".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 25 28 30 32 35 40 42 48 50 56 60 64 70 75 80 84 96 100 105 112 120 128 140 150 160 168 175 192 200 210 224 240 256 280 300 320 336 350 384 400 420 448 480 525 560 600 640 672 700 768 800 840 896 960 1050 1120 1200 1280 1344 1400 1600 1680 1792 1920 2100 2240 2400 2688 2800 3200 3360 3840 4200 4480 4800 5376 5600 6400 6720 8400 8960 9600 11200 13440 16800 19200 22400 26880 33600 44800 67200 134400