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136785112128 = 263571256477
BaseRepresentation
bin111111101100100000…
…1110010110001000000
3111002001210022122200000
41333121001302301000
54220113442042003
6142501015400000
712611443161240
oct1773101626100
9432053278600
10136785112128
11530126a2315
1222615083000
13cb8b80cb92
146898689b20
1538588821a3
hex1fd9072c40

136785112128 has 168 divisors, whose sum is σ = 464675719872. Its totient is φ = 39081429504.

The previous prime is 136785112109. The next prime is 136785112133. The reversal of 136785112128 is 821211587631.

136785112128 is a `hidden beast` number, since 1 + 3 + 6 + 7 + 8 + 511 + 2 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (168).

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 23 ways as a sum of consecutive naturals, for example, 519375 + ... + 737102.

It is an arithmetic number, because the mean of its divisors is an integer number (2765926904).

Almost surely, 2136785112128 is an apocalyptic number.

136785112128 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

136785112128 is an abundant number, since it is smaller than the sum of its proper divisors (327890607744).

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

136785112128 is an equidigital number, since it uses as much as digits as its factorization.

136785112128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1256511 (or 1256489 counting only the distinct ones).

The product of its digits is 161280, while the sum is 45.

Adding to 136785112128 its reverse (821211587631), we get a palindrome (957996699759).

The spelling of 136785112128 in words is "one hundred thirty-six billion, seven hundred eighty-five million, one hundred twelve thousand, one hundred twenty-eight".