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132641064 = 233531271
BaseRepresentation
bin1111110011111…
…11000100101000
3100020120212100000
413321333010220
5232424003224
621054543000
73200300433
oct771770450
9306525300
10132641064
1168966216
1238507a60
132163194a
141388a81a
15b9a10c9
hex7e7f128

132641064 has 144 divisors (see below), whose sum is σ = 390368160. Its totient is φ = 42184800.

The previous prime is 132641057. The next prime is 132641081. The reversal of 132641064 is 460146231.

132641064 is a `hidden beast` number, since 13 + 2 + 641 + 0 + 6 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1868149 + ... + 1868219.

It is an arithmetic number, because the mean of its divisors is an integer number (2710890).

Almost surely, 2132641064 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 132641064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195184080).

132641064 is an abundant number, since it is smaller than the sum of its proper divisors (257727096).

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

132641064 is an equidigital number, since it uses as much as digits as its factorization.

132641064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 154 (or 107 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 27.

The square root of 132641064 is about 11516.9902318271. The cubic root of 132641064 is about 509.9872661180.

Adding to 132641064 its reverse (460146231), we get a palindrome (592787295).

The spelling of 132641064 in words is "one hundred thirty-two million, six hundred forty-one thousand, sixty-four".

Divisors: 1 2 3 4 6 8 9 12 18 24 27 31 36 54 62 71 72 81 93 108 124 142 162 186 213 216 243 248 279 284 324 372 426 486 558 568 639 648 744 837 852 961 972 1116 1278 1674 1704 1917 1922 1944 2201 2232 2511 2556 2883 3348 3834 3844 4402 5022 5112 5751 5766 6603 6696 7533 7668 7688 8649 8804 10044 11502 11532 13206 15066 15336 17253 17298 17608 19809 20088 23004 23064 25947 26412 30132 34506 34596 39618 46008 51894 52824 59427 60264 68231 69012 69192 77841 79236 103788 118854 136462 138024 155682 158472 178281 204693 207576 233523 237708 272924 311364 356562 409386 467046 475416 534843 545848 614079 622728 713124 818772 934092 1069686 1228158 1426248 1637544 1842237 1868184 2139372 2456316 3684474 4278744 4912632 5526711 7368948 11053422 14737896 16580133 22106844 33160266 44213688 66320532 132641064