Search a number
-
+
134571136 = 277295179
BaseRepresentation
bin10000000010101…
…10010010000000
3100101012220220011
420001112102000
5233422234021
621204154304
73222556450
oct1001262200
9311186804
10134571136
1169a64317
1239098994
1321b592bb
1413c2dd60
15bc32de1
hex8056480

134571136 has 64 divisors (see below), whose sum is σ = 317016000. Its totient is φ = 55673856.

The previous prime is 134571131. The next prime is 134571169. The reversal of 134571136 is 631175431.

It is a tau number, because it is divible by the number of its divisors (64).

It is a junction number, because it is equal to n+sod(n) for n = 134571098 and 134571107.

It is not an unprimeable number, because it can be changed into a prime (134571131) 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 7 ways as a sum of consecutive naturals, for example, 23395 + ... + 28573.

It is an arithmetic number, because the mean of its divisors is an integer number (4953375).

Almost surely, 2134571136 is an apocalyptic number.

134571136 is a gapful number since it is divisible by the number (16) 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 134571136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (158508000).

134571136 is an abundant number, since it is smaller than the sum of its proper divisors (182444864).

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

134571136 is an equidigital number, since it uses as much as digits as its factorization.

134571136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5229 (or 5217 counting only the distinct ones).

The product of its digits is 7560, while the sum is 31.

The square root of 134571136 is about 11600.4799900694. The cubic root of 134571136 is about 512.4489876650.

The spelling of 134571136 in words is "one hundred thirty-four million, five hundred seventy-one thousand, one hundred thirty-six".

Divisors: 1 2 4 7 8 14 16 28 29 32 56 58 64 112 116 128 203 224 232 406 448 464 812 896 928 1624 1856 3248 3712 5179 6496 10358 12992 20716 25984 36253 41432 72506 82864 145012 150191 165728 290024 300382 331456 580048 600764 662912 1051337 1160096 1201528 2102674 2320192 2403056 4205348 4640384 4806112 8410696 9612224 16821392 19224448 33642784 67285568 134571136