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134216640 = 26325291607
BaseRepresentation
bin1111111111111…
…11101111000000
3100100112220121200
413333333233000
5233324413030
621152421200
73216552105
oct777775700
9310486550
10134216640
1169841a48
1238b47800
1321a63b3c
1413b7aaac
15bbb2d60
hex7fffbc0

134216640 has 168 divisors, whose sum is σ = 477865440. Its totient is φ = 34535424.

The previous prime is 134216629. The next prime is 134216647. The reversal of 134216640 is 46612431.

134216640 is a `hidden beast` number, since 1 + 3 + 4 + 2 + 16 + 640 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134216647) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 82717 + ... + 84323.

Almost surely, 2134216640 is an apocalyptic number.

134216640 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 134216640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (238932720).

134216640 is an abundant number, since it is smaller than the sum of its proper divisors (343648800).

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

134216640 is a wasteful number, since it uses less digits than its factorization.

134216640 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1659 (or 1646 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 134216640 is about 11585.1905465555. The cubic root of 134216640 is about 511.9986165327.

The spelling of 134216640 in words is "one hundred thirty-four million, two hundred sixteen thousand, six hundred forty".