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132171147505152 = 2937731731653
BaseRepresentation
bin11110000011010101111110…
…010010111110111000000000
3122022222102211112002020000000
4132003111332102332320000
5114310443002230131102
61145034330440000000
736561023151045000
oct3603257622767000
9568872745066000
10132171147505152
1139128518087848
12129a77a1a60000
1358998bb717c62
14248d190c6c000
15104311c9dd01c
hex78357e4bee00

132171147505152 has 2560 divisors, whose sum is σ = 505603067904000. Its totient is φ = 34342638059520.

The previous prime is 132171147505141. The next prime is 132171147505211. The reversal of 132171147505152 is 251505741171231.

Adding to 132171147505152 its reverse (251505741171231), we get a palindrome (383676888676383).

132171147505152 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 71 + 14 + 7 + 50 + 515 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 132171147505098 and 132171147505107.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 202406044858 + ... + 202406045510.

It is an arithmetic number, because the mean of its divisors is an integer number (197501198400).

Almost surely, 2132171147505152 is an apocalyptic number.

132171147505152 is a gapful number since it is divisible by the number (12) 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 132171147505152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (252801533952000).

132171147505152 is an abundant number, since it is smaller than the sum of its proper divisors (373431920398848).

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

132171147505152 is an frugal number, since it uses more digits than its factorization.

132171147505152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 294000, while the sum is 45.

The spelling of 132171147505152 in words is "one hundred thirty-two trillion, one hundred seventy-one billion, one hundred forty-seven million, five hundred five thousand, one hundred fifty-two".