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134289456 = 24372317377
BaseRepresentation
bin10000000000100…
…01100000110000
3100100200121111120
420000101200300
5233334230311
621154142240
73220304310
oct1000214060
9310617446
10134289456
1169891724
1238b81980
1321a8b022
1413b99440
15bbc9706
hex8011830

134289456 has 80 divisors (see below), whose sum is σ = 413735424. Its totient is φ = 36698112.

The previous prime is 134289451. The next prime is 134289457. The reversal of 134289456 is 654982431.

It is a hoax number, since the sum of its digits (42) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (134289451) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 961 + ... + 16416.

Almost surely, 2134289456 is an apocalyptic number.

134289456 is a gapful number since it is divisible by the number (16) 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 134289456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206867712).

134289456 is an abundant number, since it is smaller than the sum of its proper divisors (279445968).

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

134289456 is a wasteful number, since it uses less digits than its factorization.

134289456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17418 (or 17412 counting only the distinct ones).

The product of its digits is 207360, while the sum is 42.

The square root of 134289456 is about 11588.3327532480. The cubic root of 134289456 is about 512.0911906259.

The spelling of 134289456 in words is "one hundred thirty-four million, two hundred eighty-nine thousand, four hundred fifty-six".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 23 24 28 42 46 48 56 69 84 92 112 138 161 168 184 276 322 336 368 483 552 644 966 1104 1288 1932 2576 3864 7728 17377 34754 52131 69508 104262 121639 139016 208524 243278 278032 364917 399671 417048 486556 729834 799342 834096 973112 1199013 1459668 1598684 1946224 2398026 2797697 2919336 3197368 4796052 5595394 5838672 6394736 8393091 9592104 11190788 16786182 19184208 22381576 33572364 44763152 67144728 134289456