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132102416160 = 253351113281761
BaseRepresentation
bin111101100000111101…
…0101110011100100000
3110121222110000001102000
41323001322232130200
54131021204304120
6140404221124000
712354423003351
oct1730172563440
9417873001360
10132102416160
115102a408550
12217289b9600
13c5c362a370
1465727c3d28
153682706990
hex1ec1eae720

132102416160 has 768 divisors, whose sum is σ = 545839741440. Its totient is φ = 29417472000.

The previous prime is 132102416111. The next prime is 132102416183. The reversal of 132102416160 is 61614201231.

It is a happy number.

132102416160 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 0 + 2 + 41 + 616 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 173590180 + ... + 173590940.

It is an arithmetic number, because the mean of its divisors is an integer number (710728830).

Almost surely, 2132102416160 is an apocalyptic number.

132102416160 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 132102416160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272919870720).

132102416160 is an abundant number, since it is smaller than the sum of its proper divisors (413737325280).

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

132102416160 is a wasteful number, since it uses less digits than its factorization.

132102416160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1090 (or 1076 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

Adding to 132102416160 its reverse (61614201231), we get a palindrome (193716617391).

The spelling of 132102416160 in words is "one hundred thirty-two billion, one hundred two million, four hundred sixteen thousand, one hundred sixty".