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134109820 = 225131015107
BaseRepresentation
bin1111111111001…
…01101001111100
3100100100111002101
413333211221330
5233313003240
621150234444
73215625505
oct777455174
9310314071
10134109820
1169779769
1238ab5a24
1321a27330
1413b4dbac
15bb9139a
hex7fe5a7c

134109820 has 48 divisors (see below), whose sum is σ = 306357408. Its totient is φ = 49017600.

The previous prime is 134109799. The next prime is 134109853. The reversal of 134109820 is 28901431.

It is a happy number.

It is a Smith number, since the sum of its digits (28) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23707 + ... + 28813.

It is an arithmetic number, because the mean of its divisors is an integer number (6382446).

Almost surely, 2134109820 is an apocalyptic number.

134109820 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 134109820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153178704).

134109820 is an abundant number, since it is smaller than the sum of its proper divisors (172247588).

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

134109820 is a wasteful number, since it uses less digits than its factorization.

134109820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5230 (or 5228 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 28.

The square root of 134109820 is about 11580.5794328263. The cubic root of 134109820 is about 511.8627510942.

The spelling of 134109820 in words is "one hundred thirty-four million, one hundred nine thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 101 130 202 260 404 505 1010 1313 2020 2626 5107 5252 6565 10214 13130 20428 25535 26260 51070 66391 102140 132782 265564 331955 515807 663910 1031614 1327820 2063228 2579035 5158070 6705491 10316140 13410982 26821964 33527455 67054910 134109820