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134512000 = 275371201
BaseRepresentation
bin10000000010001…
…11110110000000
3100101002220202221
420001013312000
5233413341000
621203020424
73222222160
oct1001076600
9311086687
10134512000
1169a23947
123906a714
1321b383cc
1413c165a0
15bc2061a
hex8047d80

134512000 has 128 divisors (see below), whose sum is σ = 382524480. Its totient is φ = 46080000.

The previous prime is 134511959. The next prime is 134512003. The reversal of 134512000 is 215431.

It is a tau number, because it is divible by the number of its divisors (128).

It is a Harshad number since it is a multiple of its sum of digits (16).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (134512003) 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, 111400 + ... + 112600.

Almost surely, 2134512000 is an apocalyptic number.

134512000 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 134512000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191262240).

134512000 is an abundant number, since it is smaller than the sum of its proper divisors (248012480).

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

134512000 is an equidigital number, since it uses as much as digits as its factorization.

134512000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1237 (or 1215 counting only the distinct ones).

The product of its (nonzero) digits is 120, while the sum is 16.

The square root of 134512000 is about 11597.9308499404. The cubic root of 134512000 is about 512.3739130631.

Adding to 134512000 its reverse (215431), we get a palindrome (134727431).

It can be divided in two parts, 13451 and 2000, that added together give a palindrome (15451).

The spelling of 134512000 in words is "one hundred thirty-four million, five hundred twelve thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 128 140 160 175 200 224 250 280 320 350 400 448 500 560 640 700 800 875 896 1000 1120 1201 1400 1600 1750 2000 2240 2402 2800 3200 3500 4000 4480 4804 5600 6005 7000 8000 8407 9608 11200 12010 14000 16000 16814 19216 22400 24020 28000 30025 33628 38432 42035 48040 56000 60050 67256 76864 84070 96080 112000 120100 134512 150125 153728 168140 192160 210175 240200 269024 300250 336280 384320 420350 480400 538048 600500 672560 768640 840700 960800 1050875 1076096 1201000 1345120 1681400 1921600 2101750 2402000 2690240 3362800 3843200 4203500 4804000 5380480 6725600 8407000 9608000 13451200 16814000 19216000 26902400 33628000 67256000 134512000