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132234142524 = 2231117178932939
BaseRepresentation
bin111101100100111000…
…1001110001100111100
3110122022121212110000020
41323021301032030330
54131303420030044
6140425244332140
712360612444261
oct1731161161474
9418277773006
10132234142524
11510977a9510
1221764b44050
13c6149cb863
1465860b3268
15368e076a19
hex1ec9c4e33c

132234142524 has 96 divisors (see below), whose sum is σ = 356605804800. Its totient is φ = 37691612160.

The previous prime is 132234142519. The next prime is 132234142529. The reversal of 132234142524 is 425241432231.

It is a happy number.

132234142524 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (132234142519) and next prime (132234142529).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132234142529) 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, 3998047 + ... + 4030985.

It is an arithmetic number, because the mean of its divisors is an integer number (3714643800).

Almost surely, 2132234142524 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 132234142524, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (178302902400).

132234142524 is an abundant number, since it is smaller than the sum of its proper divisors (224371662276).

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

132234142524 is a wasteful number, since it uses less digits than its factorization.

132234142524 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34763 (or 34761 counting only the distinct ones).

The product of its digits is 46080, while the sum is 33.

Adding to 132234142524 its reverse (425241432231), we get a palindrome (557475574755).

The spelling of 132234142524 in words is "one hundred thirty-two billion, two hundred thirty-four million, one hundred forty-two thousand, five hundred twenty-four".

Divisors: 1 2 3 4 6 11 12 17 22 33 34 44 51 66 68 102 132 187 204 374 561 748 1122 1789 2244 3578 5367 7156 10734 19679 21468 30413 32939 39358 59037 60826 65878 78716 91239 98817 118074 121652 131756 182478 197634 236148 334543 362329 364956 395268 559963 669086 724658 1003629 1086987 1119926 1338172 1449316 1679889 2007258 2173974 2239852 3359778 4014516 4347948 6159593 6719556 12319186 18478779 24638372 36957558 58927871 73915116 117855742 176783613 235711484 353567226 648206581 707134452 1001773807 1296413162 1944619743 2003547614 2592826324 3005321421 3889239486 4007095228 6010642842 7778478972 11019511877 12021285684 22039023754 33058535631 44078047508 66117071262 132234142524