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132150622146144 = 2537907216816661
BaseRepresentation
bin11110000011000010110110…
…111000111100111001100000
3122022220110212001222221200020
4132003002312320330321200
5114310123433232134034
61145021054022153440
736556365416265120
oct3603026670747140
9568813761887606
10132150622146144
113911a845050828
12129a3813b82880
13589799a249804
14248c1a4cacc80
15104281aa9a249
hex7830b6e3ce60

132150622146144 has 96 divisors (see below), whose sum is σ = 396888970657536. Its totient is φ = 37715691640320.

The previous prime is 132150622146139. The next prime is 132150622146161. The reversal of 132150622146144 is 441641226051231.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×1321506221461442 (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a junction number, because it is equal to n+sod(n) for n = 132150622146096 and 132150622146105.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 107798827 + ... + 109017834.

It is an arithmetic number, because the mean of its divisors is an integer number (4134260111016).

Almost surely, 2132150622146144 is an apocalyptic number.

132150622146144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

132150622146144 is an abundant number, since it is smaller than the sum of its proper divisors (264738348511392).

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

132150622146144 is a wasteful number, since it uses less digits than its factorization.

132150622146144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 216817588 (or 216817580 counting only the distinct ones).

The product of its (nonzero) digits is 276480, while the sum is 42.

Adding to 132150622146144 its reverse (441641226051231), we get a palindrome (573791848197375).

The spelling of 132150622146144 in words is "one hundred thirty-two trillion, one hundred fifty billion, six hundred twenty-two million, one hundred forty-six thousand, one hundred forty-four".

Divisors: 1 2 3 4 6 7 8 12 14 16 21 24 28 32 42 48 56 84 96 112 168 224 336 672 907 1814 2721 3628 5442 6349 7256 10884 12698 14512 19047 21768 25396 29024 38094 43536 50792 76188 87072 101584 152376 203168 304752 609504 216816661 433633322 650449983 867266644 1300899966 1517716627 1734533288 2601799932 3035433254 3469066576 4553149881 5203599864 6070866508 6938133152 9106299762 10407199728 12141733016 18212599524 20814399456 24283466032 36425199048 48566932064 72850398096 145700796192 196652711527 393305423054 589958134581 786610846108 1179916269162 1376568980689 1573221692216 2359832538324 2753137961378 3146443384432 4129706942067 4719665076648 5506275922756 6292886768864 8259413884134 9439330153296 11012551845512 16518827768268 18878660306592 22025103691024 33037655536536 44050207382048 66075311073072 132150622146144