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132554324240 = 24513633720113
BaseRepresentation
bin111101101110011011…
…0100111100100010000
3110200010221100100202022
41323130312213210100
54132432401333430
6140521123111012
712401551110542
oct1733466474420
9420127310668
10132554324240
11512415077a8
1221834212468
13c6661446b0
1465b681b692
1536ac2204e5
hex1edcda7910

132554324240 has 80 divisors (see below), whose sum is σ = 331964513328. Its totient is φ = 48932978688.

The previous prime is 132554324197. The next prime is 132554324251. The reversal of 132554324240 is 42423455231.

It is a happy number.

It can be written as a sum of positive squares in 8 ways, for example, as 43569047824 + 88985276416 = 208732^2 + 298304^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a self number, because there is not a number n which added to its sum of digits gives 132554324240.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 6580424 + ... + 6600536.

Almost surely, 2132554324240 is an apocalyptic number.

132554324240 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

132554324240 is an abundant number, since it is smaller than the sum of its proper divisors (199410189088).

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

132554324240 is a wasteful number, since it uses less digits than its factorization.

132554324240 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 26476 (or 26470 counting only the distinct ones).

The product of its (nonzero) digits is 115200, while the sum is 35.

Adding to 132554324240 its reverse (42423455231), we get a palindrome (174977779471).

The spelling of 132554324240 in words is "one hundred thirty-two billion, five hundred fifty-four million, three hundred twenty-four thousand, two hundred forty".

Divisors: 1 2 4 5 8 10 13 16 20 26 40 52 65 80 104 130 208 260 520 1040 6337 12674 20113 25348 31685 40226 50696 63370 80452 82381 100565 101392 126740 160904 164762 201130 253480 261469 321808 329524 402260 411905 506960 522938 659048 804520 823810 1045876 1307345 1318096 1609040 1647620 2091752 2614690 3295240 4183504 5229380 6590480 10458760 20917520 127456081 254912162 509824324 637280405 1019648648 1274560810 1656929053 2039297296 2549121620 3313858106 5098243240 6627716212 8284645265 10196486480 13255432424 16569290530 26510864848 33138581060 66277162120 132554324240