Search a number
-
+
134135200 = 25521071567
BaseRepresentation
bin1111111111010…
…11110110100000
3100100101202220101
413333223312200
5233314311300
621150552144
73216062503
oct777536640
9310352811
10134135200
1169796841
1238b08654
1321a35a54
1413b5913a
15bb98b6a
hex7febda0

134135200 has 72 divisors (see below), whose sum is σ = 330728832. Its totient is φ = 53118720.

The previous prime is 134135191. The next prime is 134135201. The reversal of 134135200 is 2531431.

It is not an unprimeable number, because it can be changed into a prime (134135201) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 84817 + ... + 86383.

It is an arithmetic number, because the mean of its divisors is an integer number (4593456).

Almost surely, 2134135200 is an apocalyptic number.

134135200 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 134135200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165364416).

134135200 is an abundant number, since it is smaller than the sum of its proper divisors (196593632).

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

134135200 is a wasteful number, since it uses less digits than its factorization.

134135200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1694 (or 1681 counting only the distinct ones).

The product of its (nonzero) digits is 360, while the sum is 19.

The square root of 134135200 is about 11581.6751810781. The cubic root of 134135200 is about 511.8950387055.

Adding to 134135200 its reverse (2531431), we get a palindrome (136666631).

The spelling of 134135200 in words is "one hundred thirty-four million, one hundred thirty-five thousand, two hundred".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 80 100 107 160 200 214 400 428 535 800 856 1070 1567 1712 2140 2675 3134 3424 4280 5350 6268 7835 8560 10700 12536 15670 17120 21400 25072 31340 39175 42800 50144 62680 78350 85600 125360 156700 167669 250720 313400 335338 626800 670676 838345 1253600 1341352 1676690 2682704 3353380 4191725 5365408 6706760 8383450 13413520 16766900 26827040 33533800 67067600 134135200