Search a number
-
+
132535134000 = 2432537363063
BaseRepresentation
bin111101101101110110…
…1011010011100110000
3110200002121020101200200
41323123231122130300
54132412443242000
6140515155515200
712401226023403
oct1733355323460
9420077211620
10132535134000
115123169a8a5
12218298b8b00
13c662185a19
1465b4063d3a
1536aa6ce500
hex1edbb5a730

132535134000 has 120 divisors (see below), whose sum is σ = 462901107552. Its totient is φ = 35342697600.

The previous prime is 132535133999. The next prime is 132535134007. The reversal of 132535134000 is 431535231.

132535134000 is a `hidden beast` number, since 1 + 3 + 253 + 5 + 1 + 3 + 400 + 0 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (132535134007) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3663532 + ... + 3699531.

Almost surely, 2132535134000 is an apocalyptic number.

132535134000 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132535134000 is an abundant number, since it is smaller than the sum of its proper divisors (330365973552).

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

132535134000 is a wasteful number, since it uses less digits than its factorization.

132535134000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7363092 (or 7363073 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

Adding to 132535134000 its reverse (431535231), we get a palindrome (132966669231).

The spelling of 132535134000 in words is "one hundred thirty-two billion, five hundred thirty-five million, one 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 7363063 14726126 22089189 29452252 36815315 44178378 58904504 66267567 73630630 88356756 110445945 117809008 132535134 147261260 176713512 184076575 220891890 265070268 294522520 331337835 353427024 368153150 441783780 530140536 552229725 589045040 662675670 736306300 883567560 920382875 1060281072 1104459450 1325351340 1472612600 1656689175 1767135120 1840765750 2208918900 2650702680 2761148625 2945225200 3313378350 3681531500 4417837800 5301405360 5522297250 6626756700 7363063000 8283445875 8835675600 11044594500 13253513400 14726126000 16566891750 22089189000 26507026800 33133783500 44178378000 66267567000 132535134000