Search a number
-
+
134627328 = 214321183
BaseRepresentation
bin10000000011001…
…00000000000000
3100101022202222100
420001210000000
5233431033303
621205310400
73223212333
oct1001440000
9311282870
10134627328
1169aa2560
1239105400
1321b78a54
1413c4661a
15bc448a3
hex8064000

134627328 has 180 divisors, whose sum is σ = 429378768. Its totient is φ = 40304640.

The previous prime is 134627323. The next prime is 134627341. The reversal of 134627328 is 823726431.

It is a happy number.

134627328 is a `hidden beast` number, since 1 + 3 + 4 + 627 + 3 + 28 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

Its product of digits (48384) is a multiple of the sum of its prime factors (128).

It is a junction number, because it is equal to n+sod(n) for n = 134627292 and 134627301.

It is not an unprimeable number, because it can be changed into a prime (134627323) 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, 1621975 + ... + 1622057.

Almost surely, 2134627328 is an apocalyptic number.

134627328 is a gapful number since it is divisible by the number (18) 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 134627328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214689384).

134627328 is an abundant number, since it is smaller than the sum of its proper divisors (294751440).

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

134627328 is an equidigital number, since it uses as much as digits as its factorization.

134627328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 128 (or 99 counting only the distinct ones).

The product of its digits is 48384, while the sum is 36.

The square root of 134627328 is about 11602.9017060389. The cubic root of 134627328 is about 512.5203044107.

The spelling of 134627328 in words is "one hundred thirty-four million, six hundred twenty-seven thousand, three hundred twenty-eight".