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134644100 = 22522921601
BaseRepresentation
bin10000000011010…
…00000110000100
3100101100121222112
420001220012010
5233432102400
621205520152
73223312253
oct1001500604
9311317875
10134644100
116a004118
1239113058
1321b83586
1413c4c79a
15bc49835
hex8068184

134644100 has 54 divisors (see below), whose sum is σ = 302789214. Its totient is φ = 51968000.

The previous prime is 134644087. The next prime is 134644109. The reversal of 134644100 is 1446431.

It can be written as a sum of positive squares in 9 ways, for example, as 2715904 + 131928196 = 1648^2 + 11486^2 .

It is not an unprimeable number, because it can be changed into a prime (134644109) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 83300 + ... + 84900.

Almost surely, 2134644100 is an apocalyptic number.

134644100 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 134644100, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (151394607).

134644100 is an abundant number, since it is smaller than the sum of its proper divisors (168145114).

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

134644100 is a wasteful number, since it uses less digits than its factorization.

134644100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1673 (or 1637 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 23.

The square root of 134644100 is about 11603.6244337707. The cubic root of 134644100 is about 512.5415869485.

The spelling of 134644100 in words is "one hundred thirty-four million, six hundred forty-four thousand, one hundred".

Divisors: 1 2 4 5 10 20 25 29 50 58 100 116 145 290 580 725 841 1450 1601 1682 2900 3202 3364 4205 6404 8005 8410 16010 16820 21025 32020 40025 42050 46429 80050 84100 92858 160100 185716 232145 464290 928580 1160725 1346441 2321450 2692882 4642900 5385764 6732205 13464410 26928820 33661025 67322050 134644100