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135541653761 = 3371216133073
BaseRepresentation
bin111111000111011101…
…0011000000100000001
3110221212010112102110102
41332032322120010001
54210042130410021
6142133400012145
712535564022213
oct1761672300401
9427763472412
10135541653761
1152534803678
1222328761055
13ca210109b7
1467bb4865b3
1537d461000b
hex1f8ee98101

135541653761 has 8 divisors (see below), whose sum is σ = 135959143944. Its totient is φ = 135124254720.

The previous prime is 135541653749. The next prime is 135541653787. The reversal of 135541653761 is 167356145531.

It can be written as a sum of positive squares in 4 ways, for example, as 1900960000 + 133640693761 = 43600^2 + 365569^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 135541653761 - 26 = 135541653697 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (135541653721) 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 7 ways as a sum of consecutive naturals, for example, 4081721 + ... + 4114793.

It is an arithmetic number, because the mean of its divisors is an integer number (16994892993).

Almost surely, 2135541653761 is an apocalyptic number.

It is an amenable number.

135541653761 is a deficient number, since it is larger than the sum of its proper divisors (417490183).

135541653761 is a wasteful number, since it uses less digits than its factorization.

135541653761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 45571.

The product of its digits is 1134000, while the sum is 47.

The spelling of 135541653761 in words is "one hundred thirty-five billion, five hundred forty-one million, six hundred fifty-three thousand, seven hundred sixty-one".

Divisors: 1 337 12161 33073 4098257 11145601 402200753 135541653761