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134352234000 = 2432537464013
BaseRepresentation
bin111110100100000000…
…1000110011000010000
3110211210020102122021200
41331020001012120100
54200123132442000
6141415350351200
712464242101135
oct1751001063020
9424706378250
10134352234000
1151a84373a36
122205635b500
13c89178221a
14670750c58c
153764eb4500
hex1f48046610

134352234000 has 120 divisors (see below), whose sum is σ = 469247632152. Its totient is φ = 35827257600.

The previous prime is 134352233957. The next prime is 134352234011. The reversal of 134352234000 is 432253431.

134352234000 is a `hidden beast` number, since 1 + 3 + 4 + 35 + 223 + 400 + 0 = 666.

134352234000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 1299458304 + 133052775696 = 36048^2 + 364764^2 .

It is a tau number, because it is divible by the number of its divisors (120).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3714007 + ... + 3750006.

Almost surely, 2134352234000 is an apocalyptic number.

134352234000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

134352234000 is an abundant number, since it is smaller than the sum of its proper divisors (334895398152).

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

134352234000 is a wasteful number, since it uses less digits than its factorization.

134352234000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7464042 (or 7464023 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 27.

Adding to 134352234000 its reverse (432253431), we get a palindrome (134784487431).

The spelling of 134352234000 in words is "one hundred thirty-four billion, three hundred fifty-two million, two hundred thirty-four thousand".

Divisors: 1 2 3 4 5 6 8 9 10 12 15 16 18 20 24 25 30 36 40 45 48 50 60 72 75 80 90 100 120 125 144 150 180 200 225 240 250 300 360 375 400 450 500 600 720 750 900 1000 1125 1200 1500 1800 2000 2250 3000 3600 4500 6000 9000 18000 7464013 14928026 22392039 29856052 37320065 44784078 59712104 67176117 74640130 89568156 111960195 119424208 134352234 149280260 179136312 186600325 223920390 268704468 298560520 335880585 358272624 373200650 447840780 537408936 559800975 597121040 671761170 746401300 895681560 933001625 1074817872 1119601950 1343522340 1492802600 1679402925 1791363120 1866003250 2239203900 2687044680 2799004875 2985605200 3358805850 3732006500 4478407800 5374089360 5598009750 6717611700 7464013000 8397014625 8956815600 11196019500 13435223400 14928026000 16794029250 22392039000 26870446800 33588058500 44784078000 67176117000 134352234000