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132127765152 = 2531376330887
BaseRepresentation
bin111101100001101101…
…1011011001010100000
3110122001012200220200120
41323003123123022200
54131044201441102
6140410524320240
712355151321205
oct1730333331240
9418035626616
10132127765152
1151042751629
12217353a3080
13c5c8964376
146575d01cac
153684a626bc
hex1ec36db2a0

132127765152 has 24 divisors (see below), whose sum is σ = 346835383776. Its totient is φ = 44042588352.

The previous prime is 132127765151. The next prime is 132127765183. The reversal of 132127765152 is 251567721231.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (24).

It is not an unprimeable number, because it can be changed into a prime (132127765151) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 688165348 + ... + 688165539.

It is an arithmetic number, because the mean of its divisors is an integer number (14451474324).

Almost surely, 2132127765152 is an apocalyptic number.

132127765152 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

132127765152 is an abundant number, since it is smaller than the sum of its proper divisors (214707618624).

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

132127765152 is a wasteful number, since it uses less digits than its factorization.

132127765152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1376330900 (or 1376330892 counting only the distinct ones).

The product of its digits is 176400, while the sum is 42.

The spelling of 132127765152 in words is "one hundred thirty-two billion, one hundred twenty-seven million, seven hundred sixty-five thousand, one hundred fifty-two".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1376330887 2752661774 4128992661 5505323548 8257985322 11010647096 16515970644 22021294192 33031941288 44042588384 66063882576 132127765152