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135663066 = 23372115979
BaseRepresentation
bin10000001011000…
…00110111011010
3100110021101202000
420011200313122
5234212204231
621243421430
73235055100
oct1005406732
9313241660
10135663066
116a63a740
1239524876
132214c306
1414035c70
15bd9b6e6
hex8160dda

135663066 has 192 divisors, whose sum is σ = 393984000. Its totient is φ = 34201440.

The previous prime is 135663049. The next prime is 135663071. The reversal of 135663066 is 660366531.

It is a happy number.

135663066 is a `hidden beast` number, since 1 + 3 + 566 + 30 + 66 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 135663066.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1717215 + ... + 1717293.

It is an arithmetic number, because the mean of its divisors is an integer number (2052000).

Almost surely, 2135663066 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 135663066, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196992000).

135663066 is an abundant number, since it is smaller than the sum of its proper divisors (258320934).

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

135663066 is a wasteful number, since it uses less digits than its factorization.

135663066 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 174 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 58320, while the sum is 36.

The square root of 135663066 is about 11647.4489052324. The cubic root of 135663066 is about 513.8312844907.

The spelling of 135663066 in words is "one hundred thirty-five million, six hundred sixty-three thousand, sixty-six".