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134700023808 = 214327373527
BaseRepresentation
bin111110101110010111…
…1110100000000000000
3110212200110212012012200
41331130233310000000
54201331201230213
6141514052553200
712505664211450
oct1753457640000
9425613765180
10134700023808
1152142719629
1222132922800
13c9188433cc
14673b7a1d60
1537857b3273
hex1f5cbf4000

134700023808 has 360 divisors, whose sum is σ = 456859009152. Its totient is φ = 37434949632.

The previous prime is 134700023761. The next prime is 134700023831. The reversal of 134700023808 is 808320007431.

134700023808 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 23 ways as a sum of consecutive naturals, for example, 38189341 + ... + 38192867.

Almost surely, 2134700023808 is an apocalyptic number.

134700023808 is a gapful number since it is divisible by the number (18) 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 134700023808, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (228429504576).

134700023808 is an abundant number, since it is smaller than the sum of its proper divisors (322158985344).

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

134700023808 is an equidigital number, since it uses as much as digits as its factorization.

134700023808 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3605 (or 3576 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

The spelling of 134700023808 in words is "one hundred thirty-four billion, seven hundred million, twenty-three thousand, eight hundred eight".