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134792100 = 223652432
BaseRepresentation
bin10000000100011…
…00001110100100
3100101122011000000
420002030032210
5234001321400
621213021300
73224466612
oct1002141644
9311564000
10134792100
116a0a5333
1239184830
1321c05a51
1413c8a6b2
15bc78600
hex808c3a4

134792100 has 189 divisors, whose sum is σ = 448983633. Its totient is φ = 35108640.

The previous prime is 134792093. The next prime is 134792101. The reversal of 134792100 is 1297431.

The square root of 134792100 is 11610.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 48525156 + 86266944 = 6966^2 + 9288^2 .

It is a Harshad number since it is a multiple of its sum of digits (27).

It is not an unprimeable number, because it can be changed into a prime (134792101) by changing a digit.

It is a polite number, since it can be written in 62 ways as a sum of consecutive naturals, for example, 3134679 + ... + 3134721.

Almost surely, 2134792100 is an apocalyptic number.

134792100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

134792100 is the 11610-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134792100

134792100 is an abundant number, since it is smaller than the sum of its proper divisors (314191533).

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

134792100 is an equidigital number, since it uses as much as digits as its factorization.

134792100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 118 (or 53 counting only the distinct ones).

The product of its (nonzero) digits is 1512, while the sum is 27.

The cubic root of 134792100 is about 512.7293124122.

The spelling of 134792100 in words is "one hundred thirty-four million, seven hundred ninety-two thousand, one hundred".