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135500236164 = 22323763895449
BaseRepresentation
bin111111000110001110…
…0011000010110000100
3110221202020121012012100
41332030130120112010
54210001030024124
6142125320152100
712534552001206
oct1761434302604
9427666535170
10135500236164
1152513394a57
1222316908630
13ca1556bb47
1467b5b84776
1537d0b7d1c9
hex1f8c718584

135500236164 has 18 divisors (see below), whose sum is σ = 342514485950. Its totient is φ = 45166745376.

The previous prime is 135500236133. The next prime is 135500236171. The reversal of 135500236164 is 461632005531.

135500236164 is a `hidden beast` number, since 1 + 35 + 5 + 0 + 0 + 2 + 3 + 616 + 4 = 666.

135500236164 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 78703813764 + 56796422400 = 280542^2 + 238320^2 .

It is a tau number, because it is divible by the number of its divisors (18).

It is a Harshad number since it is a multiple of its sum of digits (36), and also a Moran number because the ratio is a prime number: 3763895449 = 135500236164 / (1 + 3 + 5 + 5 + 0 + 0 + 2 + 3 + 6 + 1 + 6 + 4).

It is an unprimeable number.

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 5 ways as a sum of consecutive naturals, for example, 1881947689 + ... + 1881947760.

Almost surely, 2135500236164 is an apocalyptic number.

It is an amenable number.

135500236164 is an abundant number, since it is smaller than the sum of its proper divisors (207014249786).

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

135500236164 is a wasteful number, since it uses less digits than its factorization.

135500236164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3763895459 (or 3763895454 counting only the distinct ones).

The product of its (nonzero) digits is 64800, while the sum is 36.

The spelling of 135500236164 in words is "one hundred thirty-five billion, five hundred million, two hundred thirty-six thousand, one hundred sixty-four".

Divisors: 1 2 3 4 6 9 12 18 36 3763895449 7527790898 11291686347 15055581796 22583372694 33875059041 45166745388 67750118082 135500236164