Search a number
-
+
134340120 = 2336517271
BaseRepresentation
bin10000000000111…
…01111000011000
3100100210012000000
420000131320120
5233342340440
621155213000
73220605105
oct1000357030
9310705000
10134340120
11699167a2
1238ba7160
1321aa80c5
1413badaac
15bbd9730
hex801de18

134340120 has 224 divisors, whose sum is σ = 481619520. Its totient is φ = 33592320.

The previous prime is 134340083. The next prime is 134340133. The reversal of 134340120 is 21043431.

It is a super-2 number, since 2×1343401202 = 36094535683228800, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 134340093 and 134340102.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 495585 + ... + 495855.

Almost surely, 2134340120 is an apocalyptic number.

134340120 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 134340120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240809760).

134340120 is an abundant number, since it is smaller than the sum of its proper divisors (347279400).

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

134340120 is a wasteful number, since it uses less digits than its factorization.

134340120 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 317 (or 298 counting only the distinct ones).

The product of its (nonzero) digits is 288, while the sum is 18.

The square root of 134340120 is about 11590.5185388748. The cubic root of 134340120 is about 512.1555821941.

Adding to 134340120 its reverse (21043431), we get a palindrome (155383551).

The spelling of 134340120 in words is "one hundred thirty-four million, three hundred forty thousand, one hundred twenty".