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134720000 = 2954421
BaseRepresentation
bin10000000011110…
…10101000000000
3100101111111002122
420001322220000
5233442020000
621211303412
73224046452
oct1001725000
9311444078
10134720000
116a056148
123914ab68
1321babc9c
1413c6c2d2
15bc62085
hex807aa00

134720000 has 100 divisors (see below), whose sum is σ = 337162386. Its totient is φ = 53760000.

The previous prime is 134719987. The next prime is 134720009. The reversal of 134720000 is 27431.

It is a happy number.

It can be written as a sum of positive squares in 5 ways, for example, as 8202496 + 126517504 = 2864^2 + 11248^2 .

It is a tau number, because it is divible by the number of its divisors (100).

It is not an unprimeable number, because it can be changed into a prime (134720009) by changing a digit.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 319790 + ... + 320210.

Almost surely, 2134720000 is an apocalyptic number.

134720000 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 134720000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (168581193).

134720000 is an abundant number, since it is smaller than the sum of its proper divisors (202442386).

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

134720000 is an frugal number, since it uses more digits than its factorization.

134720000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 459 (or 428 counting only the distinct ones).

The product of its (nonzero) digits is 168, while the sum is 17.

The square root of 134720000 is about 11606.8945028375. The cubic root of 134720000 is about 512.6378768441.

Adding to 134720000 its reverse (27431), we get a palindrome (134747431).

The spelling of 134720000 in words is "one hundred thirty-four million, seven hundred twenty thousand".

Divisors: 1 2 4 5 8 10 16 20 25 32 40 50 64 80 100 125 128 160 200 250 256 320 400 421 500 512 625 640 800 842 1000 1250 1280 1600 1684 2000 2105 2500 2560 3200 3368 4000 4210 5000 6400 6736 8000 8420 10000 10525 12800 13472 16000 16840 20000 21050 26944 32000 33680 40000 42100 52625 53888 64000 67360 80000 84200 105250 107776 134720 160000 168400 210500 215552 263125 269440 320000 336800 421000 526250 538880 673600 842000 1052500 1077760 1347200 1684000 2105000 2694400 3368000 4210000 5388800 6736000 8420000 13472000 16840000 26944000 33680000 67360000 134720000