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134589188160 = 263257431071451
BaseRepresentation
bin111110101011000100…
…1000000100001000000
3110212101202022011021200
41331112021000201000
54201114313010120
6141455053221200
712503150136450
oct1752611004100
9425352264250
10134589188160
11520960a7119
1222101791800
13c8cb8a789b
14672ab8dd60
15377abbce90
hex1f56240840

134589188160 has 672 divisors, whose sum is σ = 546803592192. Its totient is φ = 29746483200.

The previous prime is 134589188093. The next prime is 134589188171. The reversal of 134589188160 is 61881985431.

It is a happy number.

134589188160 is a `hidden beast` number, since 1 + 3 + 458 + 9 + 188 + 1 + 6 + 0 = 666.

134589188160 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (672).

It is a super-2 number, since 2×1345891881602 (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 134589188097 and 134589188106.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 92755435 + ... + 92756885.

Almost surely, 2134589188160 is an apocalyptic number.

134589188160 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134589188160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273401796096).

134589188160 is an abundant number, since it is smaller than the sum of its proper divisors (412214404032).

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

134589188160 is a wasteful number, since it uses less digits than its factorization.

134589188160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1631 (or 1618 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 134589188160 in words is "one hundred thirty-four billion, five hundred eighty-nine million, one hundred eighty-eight thousand, one hundred sixty".