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134683119360 = 28355569761
BaseRepresentation
bin111110101101110111…
…1010100111100000000
3110212122022001100200000
41331123233110330000
54201312334304420
6141512250400000
712505400424366
oct1753357247400
9425568040600
10134683119360
1152134123009
1222129130000
13c9151a4c8a
146739441636
153784074690
hex1f5bbd4f00

134683119360 has 432 divisors, whose sum is σ = 484733864160. Its totient is φ = 35805265920.

The previous prime is 134683119341. The next prime is 134683119367. The reversal of 134683119360 is 63911386431.

It is a happy number.

134683119360 is a `hidden beast` number, since 13 + 468 + 3 + 119 + 3 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (432).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134683119367) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 176981380 + ... + 176982140.

It is an arithmetic number, because the mean of its divisors is an integer number (1122069130).

Almost surely, 2134683119360 is an apocalyptic number.

134683119360 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 134683119360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (242366932080).

134683119360 is an abundant number, since it is smaller than the sum of its proper divisors (350050744800).

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

134683119360 is an frugal number, since it uses more digits than its factorization.

134683119360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1366 (or 1340 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 134683119360 in words is "one hundred thirty-four billion, six hundred eighty-three million, one hundred nineteen thousand, three hundred sixty".