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132521504 = 25192111033
BaseRepresentation
bin1111110011000…
…01111000100000
3100020100210022212
413321201320200
5232411142004
621052221252
73166262033
oct771417040
9306323285
10132521504
1168894405
123846a828
13215bc3bb
141385901a
15b97a96e
hex7e61e20

132521504 has 48 divisors (see below), whose sum is σ = 276202080. Its totient is φ = 62415360.

The previous prime is 132521489. The next prime is 132521507. The reversal of 132521504 is 405125231.

It is a hoax number, since the sum of its digits (23) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 132521504.

It is not an unprimeable number, because it can be changed into a prime (132521507) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 127772 + ... + 128804.

It is an arithmetic number, because the mean of its divisors is an integer number (5754210).

Almost surely, 2132521504 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 132521504, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (138101040).

132521504 is an abundant number, since it is smaller than the sum of its proper divisors (143680576).

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

132521504 is a wasteful number, since it uses less digits than its factorization.

132521504 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1273 (or 1265 counting only the distinct ones).

The product of its (nonzero) digits is 1200, while the sum is 23.

The square root of 132521504 is about 11511.7984693965. The cubic root of 132521504 is about 509.8339892842.

Adding to 132521504 its reverse (405125231), we get a palindrome (537646735).

The spelling of 132521504 in words is "one hundred thirty-two million, five hundred twenty-one thousand, five hundred four".

Divisors: 1 2 4 8 16 19 32 38 76 152 211 304 422 608 844 1033 1688 2066 3376 4009 4132 6752 8018 8264 16036 16528 19627 32072 33056 39254 64144 78508 128288 157016 217963 314032 435926 628064 871852 1743704 3487408 4141297 6974816 8282594 16565188 33130376 66260752 132521504