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132136064 = 272935597
BaseRepresentation
bin1111110000000…
…11110010000000
3100012122012121022
413320003302000
5232311323224
621040045012
73163065224
oct770036200
9305565538
10132136064
1168650865
1238303768
13214b5b28
1413798784
15b90165e
hex7e03c80

132136064 has 32 divisors (see below), whose sum is σ = 272324700. Its totient is φ = 63788032.

The previous prime is 132136063. The next prime is 132136079. The reversal of 132136064 is 460631231.

It can be written as a sum of positive squares in 2 ways, for example, as 126337600 + 5798464 = 11240^2 + 2408^2 .

It is a tau number, because it is divible by the number of its divisors (32).

It is not an unprimeable number, because it can be changed into a prime (132136063) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 14087 + ... + 21510.

Almost surely, 2132136064 is an apocalyptic number.

It is an amenable number.

132136064 is an abundant number, since it is smaller than the sum of its proper divisors (140188636).

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

132136064 is an equidigital number, since it uses as much as digits as its factorization.

132136064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35640 (or 35628 counting only the distinct ones).

The product of its (nonzero) digits is 2592, while the sum is 26.

The square root of 132136064 is about 11495.0451934736. The cubic root of 132136064 is about 509.3392236983.

Adding to 132136064 its reverse (460631231), we get a palindrome (592767295).

The spelling of 132136064 in words is "one hundred thirty-two million, one hundred thirty-six thousand, sixty-four".

Divisors: 1 2 4 8 16 29 32 58 64 116 128 232 464 928 1856 3712 35597 71194 142388 284776 569552 1032313 1139104 2064626 2278208 4129252 4556416 8258504 16517008 33034016 66068032 132136064