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136121330224 = 241117137332081
BaseRepresentation
bin111111011000101110…
…1101010101000110000
3111000100112022001002001
41332301131222220300
54212234030031344
6142311104303344
712556133134105
oct1766135525060
9430315261061
10136121330224
1152801a40130
122246a911b54
13cab4141b19
14683445caac
15381a465ed4
hex1fb176aa30

136121330224 has 80 divisors (see below), whose sum is σ = 306859707936. Its totient is φ = 57808486400.

The previous prime is 136121330221. The next prime is 136121330273. The reversal of 136121330224 is 422033121631.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 136121330192 and 136121330201.

It is not an unprimeable number, because it can be changed into a prime (136121330221) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 243864 + ... + 575944.

Almost surely, 2136121330224 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 136121330224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (153429853968).

136121330224 is an abundant number, since it is smaller than the sum of its proper divisors (170738377712).

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

136121330224 is a wasteful number, since it uses less digits than its factorization.

136121330224 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 332254 (or 332248 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 28.

Adding to 136121330224 its reverse (422033121631), we get a palindrome (558154451855).

The spelling of 136121330224 in words is "one hundred thirty-six billion, one hundred twenty-one million, three hundred thirty thousand, two hundred twenty-four".

Divisors: 1 2 4 8 11 16 17 22 34 44 68 88 136 137 176 187 272 274 374 548 748 1096 1496 1507 2192 2329 2992 3014 4658 6028 9316 12056 18632 24112 25619 37264 51238 102476 204952 332081 409904 664162 1328324 2656648 3652891 5313296 5645377 7305782 11290754 14611564 22581508 29223128 45163016 45495097 58446256 62099147 90326032 90990194 124198294 181980388 248396588 363960776 496793176 500446067 727921552 773416649 993586352 1000892134 1546833298 2001784268 3093666596 4003568536 6187333192 8007137072 8507583139 12374666384 17015166278 34030332556 68060665112 136121330224