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134321152 = 210722677
BaseRepresentation
bin10000000000110…
…01010000000000
3100100202012222111
420000121100000
5233341234102
621154545104
73220465600
oct1000312000
9310665874
10134321152
1169903519
1238b98194
1321a9c594
1413ba6c00
15bbd3cd7
hex8019400

134321152 has 66 divisors (see below), whose sum is σ = 312466362. Its totient is φ = 57544704.

The previous prime is 134321147. The next prime is 134321153. The reversal of 134321152 is 251123431.

It is a happy number.

134321152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 76317696 + 58003456 = 8736^2 + 7616^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134321153) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 48838 + ... + 51514.

Almost surely, 2134321152 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134321152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (156233181).

134321152 is an abundant number, since it is smaller than the sum of its proper divisors (178145210).

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

134321152 is an equidigital number, since it uses as much as digits as its factorization.

134321152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2711 (or 2686 counting only the distinct ones).

The product of its digits is 720, while the sum is 22.

The square root of 134321152 is about 11589.7002549678. The cubic root of 134321152 is about 512.1314766518.

Adding to 134321152 its reverse (251123431), we get a palindrome (385444583).

The spelling of 134321152 in words is "one hundred thirty-four million, three hundred twenty-one thousand, one hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 49 56 64 98 112 128 196 224 256 392 448 512 784 896 1024 1568 1792 2677 3136 3584 5354 6272 7168 10708 12544 18739 21416 25088 37478 42832 50176 74956 85664 131173 149912 171328 262346 299824 342656 524692 599648 685312 1049384 1199296 1370624 2098768 2398592 2741248 4197536 4797184 8395072 9594368 16790144 19188736 33580288 67160576 134321152