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132134320140 = 22355373569201
BaseRepresentation
bin111101100001111010…
…0011011100000001100
3110122001200000221102220
41323003310123200030
54131102341221030
6140411321015340
712355261122024
oct1730364334014
9418050027386
10132134320140
1151046419479
1221737624550
13c5ca11ab64
146576b2aa84
153685409a10
hex1ec3d1b80c

132134320140 has 96 divisors (see below), whose sum is σ = 382121240256. Its totient is φ = 34097356800.

The previous prime is 132134320127. The next prime is 132134320141. The reversal of 132134320140 is 41023431231.

It is a happy number.

It is a self number, because there is not a number n which added to its sum of digits gives 132134320140.

It is not an unprimeable number, because it can be changed into a prime (132134320141) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 52461 + ... + 516740.

It is an arithmetic number, because the mean of its divisors is an integer number (3980429586).

Almost surely, 2132134320140 is an apocalyptic number.

132134320140 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 132134320140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191060620128).

132134320140 is an abundant number, since it is smaller than the sum of its proper divisors (249986920116).

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

132134320140 is a wasteful number, since it uses less digits than its factorization.

132134320140 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 569339 (or 569337 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 132134320140 its reverse (41023431231), we get a palindrome (173157751371).

The spelling of 132134320140 in words is "one hundred thirty-two billion, one hundred thirty-four million, three hundred twenty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 10 12 15 20 30 53 60 73 106 146 159 212 219 265 292 318 365 438 530 636 730 795 876 1060 1095 1460 1590 2190 3180 3869 4380 7738 11607 15476 19345 23214 38690 46428 58035 77380 116070 232140 569201 1138402 1707603 2276804 2846005 3415206 5692010 6830412 8538015 11384020 17076030 30167653 34152060 41551673 60335306 83103346 90502959 120670612 124655019 150838265 166206692 181005918 207758365 249310038 301676530 362011836 415516730 452514795 498620076 603353060 623275095 831033460 905029590 1246550190 1810059180 2202238669 2493100380 4404477338 6606716007 8808954676 11011193345 13213432014 22022386690 26426864028 33033580035 44044773380 66067160070 132134320140