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135634461220 = 2256781723061
BaseRepresentation
bin111111001010001110…
…0011010001000100100
3110222002121011112100201
41332110130122020210
54210234410224340
6142150513120244
712541101616666
oct1762434321044
9428077145321
10135634461220
1152582132255
1222353859084
13ca3730675b
1467c9924536
1537dc84379a
hex1f9471a224

135634461220 has 12 divisors (see below), whose sum is σ = 284832368604. Its totient is φ = 54253784480.

The previous prime is 135634461211. The next prime is 135634461227. The reversal of 135634461220 is 22164436531.

It can be written as a sum of positive squares in 2 ways, for example, as 66204319204 + 69430142016 = 257302^2 + 263496^2 .

It is a super-3 number, since 3×1356344612203 (a number of 34 digits) contains 333 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 135634461220.

It is not an unprimeable number, because it can be changed into a prime (135634461227) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 3390861511 + ... + 3390861550.

It is an arithmetic number, because the mean of its divisors is an integer number (23736030717).

Almost surely, 2135634461220 is an apocalyptic number.

135634461220 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

135634461220 is an abundant number, since it is smaller than the sum of its proper divisors (149197907384).

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

135634461220 is a wasteful number, since it uses less digits than its factorization.

135634461220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6781723070 (or 6781723068 counting only the distinct ones).

The product of its (nonzero) digits is 103680, while the sum is 37.

Adding to 135634461220 its reverse (22164436531), we get a palindrome (157798897751).

The spelling of 135634461220 in words is "one hundred thirty-five billion, six hundred thirty-four million, four hundred sixty-one thousand, two hundred twenty".

Divisors: 1 2 4 5 10 20 6781723061 13563446122 27126892244 33908615305 67817230610 135634461220