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132212535670152 = 23347437913961729
BaseRepresentation
bin11110000011111100100001…
…001110010011010110001000
3122100010101122221012211220000
4132003330201032103112020
5114312132233112421102
61145105333404003000
736564016612460040
oct3603744116232610
9570111587184800
10132212535670152
1139144026680793
12129b3812830460
1358a0786264112
14249119994a720
1510442412cd01c
hex783f21393588

132212535670152 has 640 divisors, whose sum is σ = 441706298880000. Its totient is φ = 36166808530944.

The previous prime is 132212535670027. The next prime is 132212535670157. The reversal of 132212535670152 is 251076535212231.

132212535670152 is a `hidden beast` number, since 1 + 3 + 2 + 2 + 1 + 2 + 535 + 67 + 0 + 1 + 52 = 666.

132212535670152 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 132212535670098 and 132212535670107.

It is not an unprimeable number, because it can be changed into a prime (132212535670157) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 2141791224 + ... + 2141852952.

It is an arithmetic number, because the mean of its divisors is an integer number (690166092000).

Almost surely, 2132212535670152 is an apocalyptic number.

132212535670152 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 132212535670152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (220853149440000).

132212535670152 is an abundant number, since it is smaller than the sum of its proper divisors (309493763209848).

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

132212535670152 is a wasteful number, since it uses less digits than its factorization.

132212535670152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 62015 (or 62002 counting only the distinct ones).

The product of its (nonzero) digits is 756000, while the sum is 45.

The spelling of 132212535670152 in words is "one hundred thirty-two trillion, two hundred twelve billion, five hundred thirty-five million, six hundred seventy thousand, one hundred fifty-two".