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132635405121648 = 2431113537114513539
BaseRepresentation
bin11110001010000110010110…
…001101001111100001110000
3122101121211011102200201120220
4132022012112031033201300
5114341044302202343043
61150031510335533040
736636406661503542
oct3612062615174160
9571554142621526
10132635405121648
11392973a5436520
1212a6176898a180
1359016078b3280
1424a7833137692
1510502407ea483
hex78a19634f870

132635405121648 has 640 divisors, whose sum is σ = 416319833825280. Its totient is φ = 35853242880000.

The previous prime is 132635405121641. The next prime is 132635405121649. The reversal of 132635405121648 is 846121504536231.

It is a self number, because there is not a number n which added to its sum of digits gives 132635405121648.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132635405121641) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 37478213863 + ... + 37478217401.

It is an arithmetic number, because the mean of its divisors is an integer number (650499740352).

Almost surely, 2132635405121648 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 132635405121648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208159916912640).

132635405121648 is an abundant number, since it is smaller than the sum of its proper divisors (283684428703632).

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

132635405121648 is a wasteful number, since it uses less digits than its factorization.

132635405121648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5149 (or 5143 counting only the distinct ones).

The product of its (nonzero) digits is 4147200, while the sum is 51.

Adding to 132635405121648 its reverse (846121504536231), we get a palindrome (978756909657879).

The spelling of 132635405121648 in words is "one hundred thirty-two trillion, six hundred thirty-five billion, four hundred five million, one hundred twenty-one thousand, six hundred forty-eight".