Search a number
-
+
136134000225 = 32522329099043
BaseRepresentation
bin111111011001000110…
…1111111111001100001
3111000101102010202001100
41332302031333321201
54212300301001400
6142312240025013
712556345623636
oct1766215777141
9430342122040
10136134000225
1152809104303
1222473002169
13cab6959a72
146835dda18d
15381b61a100
hex1fb237fe61

136134000225 has 72 divisors (see below), whose sum is σ = 254548082880. Its totient is φ = 69416519040.

The previous prime is 136134000161. The next prime is 136134000257. The reversal of 136134000225 is 522000431631.

136134000225 is a `hidden beast` number, since 1 + 3 + 613 + 40 + 0 + 0 + 2 + 2 + 5 = 666.

It is not a de Polignac number, because 136134000225 - 26 = 136134000161 is a prime.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 15049554 + ... + 15058596.

It is an arithmetic number, because the mean of its divisors is an integer number (3535390040).

Almost surely, 2136134000225 is an apocalyptic number.

136134000225 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

136134000225 is a deficient number, since it is larger than the sum of its proper divisors (118414082655).

136134000225 is a wasteful number, since it uses less digits than its factorization.

136134000225 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11991 (or 11983 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 136134000225 its reverse (522000431631), we get a palindrome (658134431856).

The spelling of 136134000225 in words is "one hundred thirty-six billion, one hundred thirty-four million, two hundred twenty-five", and thus it is an aban number.

Divisors: 1 3 5 9 15 23 25 45 69 75 115 207 225 345 575 1035 1725 2909 5175 8727 9043 14545 26181 27129 43635 45215 66907 72725 81387 130905 135645 200721 207989 218175 226075 334535 406935 602163 623967 654525 678225 1003605 1039945 1672675 1871901 2034675 3010815 3119835 5018025 5199725 9359505 15054075 15599175 26306087 46797525 78918261 131530435 236754783 394591305 605040001 657652175 1183773915 1815120003 1972956525 3025200005 5445360009 5918869575 9075600015 15126000025 27226800045 45378000075 136134000225