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134645760 = 211335487
BaseRepresentation
bin10000000011010…
…00100000000000
3100101100201021000
420001220200000
5233432131020
621205532000
73223320144
oct1001504000
9311321230
10134645760
116a005397
1239114000
1321b84262
1413c4d224
15bc4a090
hex8068800

134645760 has 192 divisors, whose sum is σ = 479606400. Its totient is φ = 35831808.

The previous prime is 134645759. The next prime is 134645779. The reversal of 134645760 is 67546431.

It is a happy number.

134645760 is a `hidden beast` number, since 1 + 3 + 4 + 645 + 7 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 276237 + ... + 276723.

It is an arithmetic number, because the mean of its divisors is an integer number (2497950).

Almost surely, 2134645760 is an apocalyptic number.

134645760 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 134645760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (239803200).

134645760 is an abundant number, since it is smaller than the sum of its proper divisors (344960640).

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

134645760 is an equidigital number, since it uses as much as digits as its factorization.

134645760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 523 (or 497 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 36.

The square root of 134645760 is about 11603.6959629249. The cubic root of 134645760 is about 512.5436932806.

The spelling of 134645760 in words is "one hundred thirty-four million, six hundred forty-five thousand, seven hundred sixty".