Search a number
-
+
134186752 = 287103727
BaseRepresentation
bin1111111111110…
…00011100000000
3100100111101121201
413333320130000
5233322434002
621152030544
73216366010
oct777703400
9310441551
10134186752
1169821547
1238b32454
1321a5335b
1413b6dc40
15bba9087
hex7ff8700

134186752 has 72 divisors (see below), whose sum is σ = 309510656. Its totient is φ = 56871936.

The previous prime is 134186749. The next prime is 134186771. The reversal of 134186752 is 257681431.

It is a zygodrome in base 2.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 184213 + ... + 184939.

Almost surely, 2134186752 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 134186752, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (154755328).

134186752 is an abundant number, since it is smaller than the sum of its proper divisors (175323904).

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

134186752 is an equidigital number, since it uses as much as digits as its factorization.

134186752 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 853 (or 839 counting only the distinct ones).

The product of its digits is 40320, while the sum is 37.

The square root of 134186752 is about 11583.9005520593. The cubic root of 134186752 is about 511.9606089487.

The spelling of 134186752 in words is "one hundred thirty-four million, one hundred eighty-six thousand, seven hundred fifty-two".

Divisors: 1 2 4 7 8 14 16 28 32 56 64 103 112 128 206 224 256 412 448 721 727 824 896 1442 1454 1648 1792 2884 2908 3296 5089 5768 5816 6592 10178 11536 11632 13184 20356 23072 23264 26368 40712 46144 46528 74881 81424 92288 93056 149762 162848 184576 186112 299524 325696 524167 599048 651392 1048334 1198096 1302784 2096668 2396192 4193336 4792384 8386672 9584768 16773344 19169536 33546688 67093376 134186752