Search a number
-
+
134188256 = 252327927
BaseRepresentation
bin1111111111110…
…00110011100000
3100100111110200102
413333320303200
5233323011011
621152041532
73216403256
oct777706340
9310443612
10134188256
1169822694
1238b332a8
1321a53c47
1413b705d6
15bba973b
hex7ff8ce0

134188256 has 36 divisors (see below), whose sum is σ = 276203592. Its totient is φ = 64168896.

The previous prime is 134188217. The next prime is 134188267. The reversal of 134188256 is 652881431.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 12965 + ... + 20891.

It is an arithmetic number, because the mean of its divisors is an integer number (7672322).

Almost surely, 2134188256 is an apocalyptic number.

134188256 is a gapful number since it is divisible by the number (16) 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 134188256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138101796).

134188256 is an abundant number, since it is smaller than the sum of its proper divisors (142015336).

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

134188256 is an equidigital number, since it uses as much as digits as its factorization.

134188256 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7983 (or 7952 counting only the distinct ones).

The product of its digits is 46080, while the sum is 38.

The square root of 134188256 is about 11583.9654695618. The cubic root of 134188256 is about 511.9625216707.

The spelling of 134188256 in words is "one hundred thirty-four million, one hundred eighty-eight thousand, two hundred fifty-six".

Divisors: 1 2 4 8 16 23 32 46 92 184 368 529 736 1058 2116 4232 7927 8464 15854 16928 31708 63416 126832 182321 253664 364642 729284 1458568 2917136 4193383 5834272 8386766 16773532 33547064 67094128 134188256