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136312185064 = 23112281501133
BaseRepresentation
bin111111011110011010…
…1101110000011101000
3111000211211102110200211
41332330311232003220
54213131404410224
6142342043110504
712563641312156
oct1767465560350
9430754373624
10136312185064
115289a747200
1222502812434
13cb14846693
1468519403d6
15382c0b5894
hex1fbcd6e0e8

136312185064 has 48 divisors (see below), whose sum is σ = 281932977060. Its totient is φ = 61739462400.

The previous prime is 136312185047. The next prime is 136312185067. The reversal of 136312185064 is 460581213631.

It can be written as a sum of positive squares in 2 ways, for example, as 134256288100 + 2055896964 = 366410^2 + 45342^2 .

It is not an unprimeable number, because it can be changed into a prime (136312185067) 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, 21442 + ... + 522574.

Almost surely, 2136312185064 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 136312185064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (140966488530).

136312185064 is an abundant number, since it is smaller than the sum of its proper divisors (145620791996).

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

136312185064 is a wasteful number, since it uses less digits than its factorization.

136312185064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 501442 (or 501427 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 40.

Adding to 136312185064 its reverse (460581213631), we get a palindrome (596893398695).

The spelling of 136312185064 in words is "one hundred thirty-six billion, three hundred twelve million, one hundred eighty-five thousand, sixty-four".

Divisors: 1 2 4 8 11 22 44 88 121 242 281 484 562 968 1124 2248 3091 6182 12364 24728 34001 68002 136004 272008 501133 1002266 2004532 4009064 5512463 11024926 22049852 44099704 60637093 121274186 140818373 242548372 281636746 485096744 563273492 1126546984 1549002103 3098004206 6196008412 12392016824 17039023133 34078046266 68156092532 136312185064