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134516480 = 285715013
BaseRepresentation
bin10000000010010…
…00111100000000
3100101010010220212
420001020330000
5233414011410
621203053252
73222241220
oct1001107400
9311103825
10134516480
1169a2724a
1239071228
1321b3a467
1413c18080
15bc21b05
hex8048f00

134516480 has 72 divisors (see below), whose sum is σ = 368263392. Its totient is φ = 46116864.

The previous prime is 134516479. The next prime is 134516521. The reversal of 134516480 is 84615431.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1454 + ... + 16466.

Almost surely, 2134516480 is an apocalyptic number.

134516480 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 134516480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184131696).

134516480 is an abundant number, since it is smaller than the sum of its proper divisors (233746912).

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

134516480 is an equidigital number, since it uses as much as digits as its factorization.

134516480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15041 (or 15027 counting only the distinct ones).

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 134516480 is about 11598.1239862316. The cubic root of 134516480 is about 512.3796013032.

The spelling of 134516480 in words is "one hundred thirty-four million, five hundred sixteen thousand, four hundred eighty".

Divisors: 1 2 4 5 7 8 10 14 16 20 28 32 35 40 56 64 70 80 112 128 140 160 224 256 280 320 448 560 640 896 1120 1280 1792 2240 4480 8960 15013 30026 60052 75065 105091 120104 150130 210182 240208 300260 420364 480416 525455 600520 840728 960832 1050910 1201040 1681456 1921664 2101820 2402080 3362912 3843328 4203640 4804160 6725824 8407280 9608320 13451648 16814560 19216640 26903296 33629120 67258240 134516480