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134321690880 = 28375133691
BaseRepresentation
bin111110100011000110…
…0100101100100000000
3110211201002221220000000
41331012030211210000
54200042323102010
6141412340000000
712463421351136
oct1750614454400
9424632856000
10134321690880
1151a69102493
1222048090000
13c888349c80
14670343b756
15376247e7c0
hex1f46325900

134321690880 has 576 divisors, whose sum is σ = 519799338240. Its totient is φ = 33054842880.

The previous prime is 134321690869. The next prime is 134321690887. The reversal of 134321690880 is 88096123431.

134321690880 is a `hidden beast` number, since 1 + 343 + 216 + 90 + 8 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

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

It is not an unprimeable number, because it can be changed into a prime (134321690887) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 36389835 + ... + 36393525.

Almost surely, 2134321690880 is an apocalyptic number.

134321690880 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 134321690880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (259899669120).

134321690880 is an abundant number, since it is smaller than the sum of its proper divisors (385477647360).

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

134321690880 is an frugal number, since it uses more digits than its factorization.

134321690880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3746 (or 3714 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 134321690880 in words is "one hundred thirty-four billion, three hundred twenty-one million, six hundred ninety thousand, eight hundred eighty".