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132453136332 = 223311229348623
BaseRepresentation
bin111101101011011010…
…0100111011111001100
3110122212212221111001000
41323112310213133030
54132231000330312
6140503110220300
712366212040216
oct1732664473714
9418785844030
10132453136332
115119a384830
1221806354690
13c64b1a62aa
1465a71db5b6
1536a33d3adc
hex1ed6d277cc

132453136332 has 96 divisors (see below), whose sum is σ = 374786012160. Its totient is φ = 40118984640.

The previous prime is 132453136289. The next prime is 132453136349. The reversal of 132453136332 is 233631354231.

132453136332 is a `hidden beast` number, since 1 + 3 + 2 + 4 + 5 + 3 + 13 + 633 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

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 31 ways as a sum of consecutive naturals, for example, 2699773 + ... + 2748395.

It is an arithmetic number, because the mean of its divisors is an integer number (3904020960).

Almost surely, 2132453136332 is an apocalyptic number.

132453136332 is a gapful number since it is divisible by the number (12) 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 132453136332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187393006080).

132453136332 is an abundant number, since it is smaller than the sum of its proper divisors (242332875828).

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

132453136332 is a wasteful number, since it uses less digits than its factorization.

132453136332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 50940 (or 50932 counting only the distinct ones).

The product of its digits is 116640, while the sum is 36.

The spelling of 132453136332 in words is "one hundred thirty-two billion, four hundred fifty-three million, one hundred thirty-six thousand, three hundred thirty-two".

Divisors: 1 2 3 4 6 9 11 12 18 22 27 33 36 44 54 66 99 108 132 198 297 396 594 1188 2293 4586 6879 9172 13758 20637 25223 27516 41274 48623 50446 61911 75669 82548 97246 100892 123822 145869 151338 194492 227007 247644 291738 302676 437607 454014 534853 583476 681021 875214 908028 1069706 1312821 1362042 1604559 1750428 2139412 2625642 2724084 3209118 4813677 5251284 6418236 9627354 14441031 19254708 28882062 57764124 111492539 222985078 334477617 445970156 668955234 1003432851 1226417929 1337910468 2006865702 2452835858 3010298553 3679253787 4013731404 4905671716 6020597106 7358507574 11037761361 12041194212 14717015148 22075522722 33113284083 44151045444 66226568166 132453136332