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134713897344 = 27321353891907
BaseRepresentation
bin111110101110110010…
…0101111000110000000
3110212201102222001010100
41331131210233012000
54201343224203334
6141515310202400
712506223143205
oct1753544570600
9425642861110
10134713897344
115214a534a64
12221374b3400
13c91b6900c0
14673d573cac
153786b03c99
hex1f5d92f180

134713897344 has 384 divisors, whose sum is σ = 430354360800. Its totient is φ = 40190312448.

The previous prime is 134713897277. The next prime is 134713897369. The reversal of 134713897344 is 443798317431.

It is a happy number.

134713897344 is a `hidden beast` number, since 13 + 471 + 38 + 97 + 3 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 70640839 + ... + 70642745.

Almost surely, 2134713897344 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 134713897344, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215177180400).

134713897344 is an abundant number, since it is smaller than the sum of its proper divisors (295640463456).

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

134713897344 is a wasteful number, since it uses less digits than its factorization.

134713897344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2082 (or 2067 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 134713897344 in words is "one hundred thirty-four billion, seven hundred thirteen million, eight hundred ninety-seven thousand, three hundred forty-four".