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132132324000 = 25353127277313
BaseRepresentation
bin111101100001110110…
…0110100001010100000
3110122001112021112020210
41323003230310022200
54131101333332000
6140411210134120
712355235136255
oct1730354641240
9418045245223
10132132324000
1151045285776
1221736a21340
13c5c989c401
14657676b42c
153685163350
hex1ec3b342a0

132132324000 has 384 divisors, whose sum is σ = 439247757312. Its totient is φ = 34720358400.

The previous prime is 132132323993. The next prime is 132132324011. The reversal of 132132324000 is 423231231.

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 63 ways as a sum of consecutive naturals, for example, 422147844 + ... + 422148156.

It is an arithmetic number, because the mean of its divisors is an integer number (1143874368).

Almost surely, 2132132324000 is an apocalyptic number.

132132324000 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 132132324000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219623878656).

132132324000 is an abundant number, since it is smaller than the sum of its proper divisors (307115433312).

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

132132324000 is a wasteful number, since it uses less digits than its factorization.

132132324000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 745 (or 727 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 21.

Adding to 132132324000 its reverse (423231231), we get a palindrome (132555555231).

The spelling of 132132324000 in words is "one hundred thirty-two billion, one hundred thirty-two million, three hundred twenty-four thousand".