Search a number
-
+
134449728 = 2637231461
BaseRepresentation
bin10000000001110…
…00101001000000
3100100222202100120
420000320221000
5233404342403
621201420240
73221542500
oct1000705100
9310882316
10134449728
1169991086
123903a680
1321b15c6a
1413bdba00
15bc0be53
hex8038a40

134449728 has 168 divisors, whose sum is σ = 428085504. Its totient is φ = 37094400.

The previous prime is 134449723. The next prime is 134449739. The reversal of 134449728 is 827944431.

It is a tau number, because it is divible by the number of its divisors (168).

It is a Harshad number since it is a multiple of its sum of digits (42).

Its product of digits (193536) is a multiple of the sum of its prime divisors (504).

It is a self number, because there is not a number n which added to its sum of digits gives 134449728.

It is not an unprimeable number, because it can be changed into a prime (134449723) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 291418 + ... + 291878.

It is an arithmetic number, because the mean of its divisors is an integer number (2548128).

Almost surely, 2134449728 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 134449728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214042752).

134449728 is an abundant number, since it is smaller than the sum of its proper divisors (293635776).

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

134449728 is a wasteful number, since it uses less digits than its factorization.

134449728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 521 (or 504 counting only the distinct ones).

The product of its digits is 193536, while the sum is 42.

The square root of 134449728 is about 11595.2459223597. The cubic root of 134449728 is about 512.2948334438.

The spelling of 134449728 in words is "one hundred thirty-four million, four hundred forty-nine thousand, seven hundred twenty-eight".