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134109360000 = 2732547114159
BaseRepresentation
bin111110011100110001…
…0100110111110000000
3110211011022102100210100
41330321202212332000
54144123444010000
6141335313002400
712455232515520
oct1747142467600
9424138370710
10134109360000
115196a268120
1221ba8b53400
13c8533661b5
1466c3169680
15374d9dba00
hex1f398a6f80

134109360000 has 1920 divisors, whose sum is σ = 626334508800. Its totient is φ = 26726400000.

The previous prime is 134109359987. The next prime is 134109360019. The reversal of 134109360000 is 63901431.

134109360000 is a `hidden beast` number, since 13 + 41 + 0 + 9 + 3 + 600 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1920).

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 239 ways as a sum of consecutive naturals, for example, 2273039971 + ... + 2273040029.

It is an arithmetic number, because the mean of its divisors is an integer number (326215890).

Almost surely, 2134109360000 is an apocalyptic number.

134109360000 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 134109360000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (313167254400).

134109360000 is an abundant number, since it is smaller than the sum of its proper divisors (492225148800).

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

134109360000 is a wasteful number, since it uses less digits than its factorization.

134109360000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 158 (or 128 counting only the distinct ones).

The product of its (nonzero) digits is 1944, while the sum is 27.

The spelling of 134109360000 in words is "one hundred thirty-four billion, one hundred nine million, three hundred sixty thousand".