Search a number
-
+
134261600 = 25521121973
BaseRepresentation
bin10000000000010…
…10101101100000
3100100122012021212
420000022231200
5233332332400
621153405252
73220130144
oct1000125540
9310565255
10134261600
1169872800
1238b69828
1321a7b445
1413b8d224
15bbc1335
hex800ab60

134261600 has 216 divisors, whose sum is σ = 384428520. Its totient is φ = 45619200.

The previous prime is 134261599. The next prime is 134261653. The reversal of 134261600 is 6162431.

It is a happy number.

134261600 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1839164 + ... + 1839236.

Almost surely, 2134261600 is an apocalyptic number.

134261600 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 134261600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (192214260).

134261600 is an abundant number, since it is smaller than the sum of its proper divisors (250166920).

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

134261600 is a wasteful number, since it uses less digits than its factorization.

134261600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 134 (or 110 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 23.

The square root of 134261600 is about 11587.1307923920. The cubic root of 134261600 is about 512.0557800556.

The spelling of 134261600 in words is "one hundred thirty-four million, two hundred sixty-one thousand, six hundred".