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134746820 = 225131573301
BaseRepresentation
bin10000000100000…
…01001011000100
3100101112211212222
420002001023010
5233443344240
621212031512
73224220605
oct1002011304
9311484788
10134746820
116a07430a
1239162598
1321bbb260
1413c77dac
15bc69eb5
hex80812c4

134746820 has 48 divisors (see below), whose sum is σ = 306769008. Its totient is φ = 49420800.

The previous prime is 134746819. The next prime is 134746823. The reversal of 134746820 is 28647431.

It can be written as a sum of positive squares in 8 ways, for example, as 34386496 + 100360324 = 5864^2 + 10018^2 .

It is a super-2 number, since 2×1347468202 = 36313411000224800, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (134746823) 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 15 ways as a sum of consecutive naturals, for example, 39170 + ... + 42470.

It is an arithmetic number, because the mean of its divisors is an integer number (6391021).

Almost surely, 2134746820 is an apocalyptic number.

134746820 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 134746820, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153384504).

134746820 is an abundant number, since it is smaller than the sum of its proper divisors (172022188).

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

134746820 is a wasteful number, since it uses less digits than its factorization.

134746820 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3480 (or 3478 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 35.

The square root of 134746820 is about 11608.0497931392. The cubic root of 134746820 is about 512.6718931633.

The spelling of 134746820 in words is "one hundred thirty-four million, seven hundred forty-six thousand, eight hundred twenty".

Divisors: 1 2 4 5 10 13 20 26 52 65 130 157 260 314 628 785 1570 2041 3140 3301 4082 6602 8164 10205 13204 16505 20410 33010 40820 42913 66020 85826 171652 214565 429130 518257 858260 1036514 2073028 2591285 5182570 6737341 10365140 13474682 26949364 33686705 67373410 134746820