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132155013760 = 275711192931157
BaseRepresentation
bin111101100010100001…
…1010111101010000000
3110122010002222021202021
41323011003113222000
54131123140420020
6140413340331224
712355632040210
oct1730503275200
9418102867667
10132155013760
1151057072940
1221742543b14
13c6014b4bc3
146579796240
1536871461aa
hex1ec50d7a80

132155013760 has 1024 divisors, whose sum is σ = 445575168000. Its totient is φ = 36229939200.

The previous prime is 132155013721. The next prime is 132155013803. The reversal of 132155013760 is 67310551231.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 841751602 + ... + 841751758.

It is an arithmetic number, because the mean of its divisors is an integer number (435132000).

Almost surely, 2132155013760 is an apocalyptic number.

132155013760 is a gapful number since it is divisible by the number (10) 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 132155013760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222787584000).

132155013760 is an abundant number, since it is smaller than the sum of its proper divisors (313420154240).

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

132155013760 is a wasteful number, since it uses less digits than its factorization.

132155013760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 273 (or 261 counting only the distinct ones).

The product of its (nonzero) digits is 18900, while the sum is 34.

Adding to 132155013760 its reverse (67310551231), we get a palindrome (199465564991).

The spelling of 132155013760 in words is "one hundred thirty-two billion, one hundred fifty-five million, thirteen thousand, seven hundred sixty".