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134100 = 223252149
BaseRepresentation
bin100000101111010100
320210221200
4200233110
513242400
62512500
71065651
oct405724
9223850
10134100
119182a
1265730
1349065
1436c28
1529b00
hex20bd4

134100 has 54 divisors (see below), whose sum is σ = 423150. Its totient is φ = 35520.

The previous prime is 134093. The next prime is 134129. The reversal of 134100 is 1431.

It can be written as a sum of positive squares in 3 ways, for example, as 144 + 133956 = 12^2 + 366^2 .

It is a Harshad number since it is a multiple of its sum of digits (9).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 826 + ... + 974.

2134100 is an apocalyptic number.

134100 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 134100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (211575).

134100 is an abundant number, since it is smaller than the sum of its proper divisors (289050).

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

134100 is a wasteful number, since it uses less digits than its factorization.

134100 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 169 (or 159 counting only the distinct ones).

The product of its (nonzero) digits is 12, while the sum is 9.

The square root of 134100 is about 366.1966684720. The cubic root of 134100 is about 51.1850257316.

134100 divided by its product of nonzero digits (12) gives a triangular number (11175 = T149).

Adding to 134100 its reverse (1431), we get a palindrome (135531).

The spelling of 134100 in words is "one hundred thirty-four thousand, one hundred".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 25 30 36 45 50 60 75 90 100 149 150 180 225 298 300 447 450 596 745 894 900 1341 1490 1788 2235 2682 2980 3725 4470 5364 6705 7450 8940 11175 13410 14900 22350 26820 33525 44700 67050 134100