Search a number
-
+
134719424 = 267317192
BaseRepresentation
bin10000000011110…
…10011111000000
3100101111110022022
420001322133000
5233442010144
621211301012
73224045000
oct1001723700
9311443268
10134719424
116a055774
123914a768
1321bab948
1413c6c000
15bc61cee
hex807a7c0

134719424 has 168 divisors, whose sum is σ = 348386400. Its totient is φ = 51480576.

The previous prime is 134719423. The next prime is 134719427. The reversal of 134719424 is 424917431.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134719423) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7090487 + ... + 7090505.

Almost surely, 2134719424 is an apocalyptic number.

134719424 is a gapful number since it is divisible by the number (14) 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 134719424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174193200).

134719424 is an abundant number, since it is smaller than the sum of its proper divisors (213666976).

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

134719424 is an equidigital number, since it uses as much as digits as its factorization.

134719424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 88 (or 45 counting only the distinct ones).

The product of its digits is 24192, while the sum is 35.

The square root of 134719424 is about 11606.8696899724. The cubic root of 134719424 is about 512.6371462427.

The spelling of 134719424 in words is "one hundred thirty-four million, seven hundred nineteen thousand, four hundred twenty-four".