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134147457280 = 285233449797
BaseRepresentation
bin111110011101111001…
…1111100000100000000
3110211020222002220102201
41330323303330010000
54144213222113110
6141343153322544
712456204400354
oct1747363740400
9424228086381
10134147457280
1151989819181
1221bb9866454
13c85b214975
1466c8245464
153752014b3a
hex1f3bcfc100

134147457280 has 72 divisors (see below), whose sum is σ = 322704876312. Its totient is φ = 53428568064.

The previous prime is 134147457277. The next prime is 134147457299. The reversal of 134147457280 is 82754741431.

It can be written as a sum of positive squares in 4 ways, for example, as 24072143104 + 110075314176 = 155152^2 + 331776^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 134147457280.

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 7 ways as a sum of consecutive naturals, for example, 73342 + ... + 523138.

It is an arithmetic number, because the mean of its divisors is an integer number (4482012171).

Almost surely, 2134147457280 is an apocalyptic number.

134147457280 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 134147457280, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161352438156).

134147457280 is an abundant number, since it is smaller than the sum of its proper divisors (188557419032).

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

134147457280 is an equidigital number, since it uses as much as digits as its factorization.

134147457280 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 450051 (or 450037 counting only the distinct ones).

The product of its (nonzero) digits is 752640, while the sum is 46.

The spelling of 134147457280 in words is "one hundred thirty-four billion, one hundred forty-seven million, four hundred fifty-seven thousand, two hundred eighty".

Divisors: 1 2 4 5 8 10 16 20 32 40 64 80 128 160 233 256 320 466 640 932 1165 1280 1864 2330 3728 4660 7456 9320 14912 18640 29824 37280 59648 74560 149120 298240 449797 899594 1799188 2248985 3598376 4497970 7196752 8995940 14393504 17991880 28787008 35983760 57574016 71967520 104802701 115148032 143935040 209605402 287870080 419210804 524013505 575740160 838421608 1048027010 1676843216 2096054020 3353686432 4192108040 6707372864 8384216080 13414745728 16768432160 26829491456 33536864320 67073728640 134147457280