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132541664 = 257158337
BaseRepresentation
bin1111110011001…
…10110011100000
3100020101210222112
413321212303200
5232412313124
621052454452
73166404563
oct771466340
9306353875
10132541664
11688a8572
123847a428
13215c8628
14138624da
15b98190e
hex7e66ce0

132541664 has 24 divisors (see below), whose sum is σ = 264621168. Its totient is φ = 65336320.

The previous prime is 132541637. The next prime is 132541667. The reversal of 132541664 is 466145231.

132541664 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a self number, because there is not a number n which added to its sum of digits gives 132541664.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132541667) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 26897 + ... + 31440.

It is an arithmetic number, because the mean of its divisors is an integer number (11025882).

Almost surely, 2132541664 is an apocalyptic number.

It is an amenable number.

132541664 is a deficient number, since it is larger than the sum of its proper divisors (132079504).

132541664 is an equidigital number, since it uses as much as digits as its factorization.

132541664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58418 (or 58410 counting only the distinct ones).

The product of its digits is 17280, while the sum is 32.

The square root of 132541664 is about 11512.6740594877. The cubic root of 132541664 is about 509.8598410183.

Adding to 132541664 its reverse (466145231), we get a palindrome (598686895).

The spelling of 132541664 in words is "one hundred thirty-two million, five hundred forty-one thousand, six hundred sixty-four".

Divisors: 1 2 4 8 16 32 71 142 284 568 1136 2272 58337 116674 233348 466696 933392 1866784 4141927 8283854 16567708 33135416 66270832 132541664