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136101024 = 2532472573
BaseRepresentation
bin10000001110010…
…11110010100000
3100111002122111200
420013023302200
5234320213044
621301041200
73241560663
oct1007136240
9314078450
10136101024
116a909794
12396b6200
1322273767
141410b6da
15be36369
hex81cbca0

136101024 has 36 divisors (see below), whose sum is σ = 387038106. Its totient is φ = 45366912.

The previous prime is 136101013. The next prime is 136101041. The reversal of 136101024 is 420101631.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 83393424 + 52707600 = 9132^2 + 7260^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 136100988 and 136101006.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 235999 + ... + 236574.

Almost surely, 2136101024 is an apocalyptic number.

It is an amenable number.

136101024 is an abundant number, since it is smaller than the sum of its proper divisors (250937082).

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

136101024 is a wasteful number, since it uses less digits than its factorization.

136101024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 472589 (or 472578 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 18.

The square root of 136101024 is about 11666.2343538950. The cubic root of 136101024 is about 514.3836205135.

Adding to 136101024 its reverse (420101631), we get a palindrome (556202655).

The spelling of 136101024 in words is "one hundred thirty-six million, one hundred one thousand, twenty-four".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 32 36 48 72 96 144 288 472573 945146 1417719 1890292 2835438 3780584 4253157 5670876 7561168 8506314 11341752 15122336 17012628 22683504 34025256 45367008 68050512 136101024