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132512143104 = 2834115691021
BaseRepresentation
bin111101101101001010…
…1101101011100000000
3110200000222222100010000
41323122111231130000
54132341102034404
6140513015040000
712400526426505
oct1733225553400
9420028870100
10132512143104
115121a717460
1221822070000
13c65a496143
1465b0d9b4ac
1536a868c339
hex1eda56d700

132512143104 has 360 divisors, whose sum is σ = 432228368880. Its totient is φ = 40045363200.

The previous prime is 132512143081. The next prime is 132512143109. The reversal of 132512143104 is 401341215231.

132512143104 is a `hidden beast` number, since 1 + 3 + 2 + 512 + 1 + 43 + 104 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132512143109) by changing a digit.

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 39 ways as a sum of consecutive naturals, for example, 129786114 + ... + 129787134.

It is an arithmetic number, because the mean of its divisors is an integer number (1200634358).

Almost surely, 2132512143104 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 132512143104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216114184440).

132512143104 is an abundant number, since it is smaller than the sum of its proper divisors (299716225776).

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

132512143104 is a wasteful number, since it uses less digits than its factorization.

132512143104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1629 (or 1606 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

Adding to 132512143104 its reverse (401341215231), we get a palindrome (533853358335).

The spelling of 132512143104 in words is "one hundred thirty-two billion, five hundred twelve million, one hundred forty-three thousand, one hundred four".