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134568107520 = 29357112137151
BaseRepresentation
bin111110101010011100…
…0100101111000000000
3110212100021122011002020
41331110320211320000
54201043413420040
6141453021321440
712502503020040
oct1752470457000
9425307564066
10134568107520
1152085208a00
12220b6706280
13c8c7406632
146728063720
153778e06cd0
hex1f54e25e00

134568107520 has 960 divisors, whose sum is σ = 547962928128. Its totient is φ = 27574272000.

The previous prime is 134568107519. The next prime is 134568107521. The reversal of 134568107520 is 25701865431.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (134568107519) and next prime (134568107521).

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134568107521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891179445 + ... + 891179595.

Almost surely, 2134568107520 is an apocalyptic number.

134568107520 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 134568107520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (273981464064).

134568107520 is an abundant number, since it is smaller than the sum of its proper divisors (413394820608).

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

134568107520 is a wasteful number, since it uses less digits than its factorization.

134568107520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 343 (or 316 counting only the distinct ones).

The product of its (nonzero) digits is 201600, while the sum is 42.

The spelling of 134568107520 in words is "one hundred thirty-four billion, five hundred sixty-eight million, one hundred seven thousand, five hundred twenty".