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163134000 = 2434531953
BaseRepresentation
bin10011011100100…
…11101000110000
3102100222001210000
421232103220300
5313230242000
624104310000
74020421221
oct1156235060
9370861700
10163134000
11840a2a97
1246772300
1327a4a0c3
1417947248
15e4c6000
hex9b93a30

163134000 has 400 divisors, whose sum is σ = 631968480. Its totient is φ = 40435200.

The previous prime is 163133953. The next prime is 163134001. The reversal of 163134000 is 431361.

163134000 is a `hidden beast` number, since 1 + 631 + 34 + 0 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (400).

It is a super-2 number, since 2×1631340002 = 53225403912000000, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is not an unprimeable number, because it can be changed into a prime (163134001) by changing a digit.

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 79 ways as a sum of consecutive naturals, for example, 3077974 + ... + 3078026.

Almost surely, 2163134000 is an apocalyptic number.

163134000 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 163134000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (315984240).

163134000 is an abundant number, since it is smaller than the sum of its proper divisors (468834480).

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

163134000 is a wasteful number, since it uses less digits than its factorization.

163134000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107 (or 82 counting only the distinct ones).

The product of its (nonzero) digits is 216, while the sum is 18.

The square root of 163134000 is about 12772.3921017169. The cubic root of 163134000 is about 546.4052057895.

Adding to 163134000 its reverse (431361), we get a palindrome (163565361).

The spelling of 163134000 in words is "one hundred sixty-three million, one hundred thirty-four thousand".