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132540564 = 223134718077
BaseRepresentation
bin1111110011001…
…10100010010100
3100020101202110210
413321212202110
5232412244224
621052445420
73166401432
oct771464224
9306352423
10132540564
11688a7762
1238479870
13215c7c90
1413861d52
15b981429
hex7e66894

132540564 has 48 divisors (see below), whose sum is σ = 340155648. Its totient is φ = 39911808.

The previous prime is 132540563. The next prime is 132540571. The reversal of 132540564 is 465045231.

It is a super-2 number, since 2×1325405642 = 35134002210876192, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132540563) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1707 + ... + 16370.

It is an arithmetic number, because the mean of its divisors is an integer number (7086576).

Almost surely, 2132540564 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 132540564, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170077824).

132540564 is an abundant number, since it is smaller than the sum of its proper divisors (207615084).

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

132540564 is a wasteful number, since it uses less digits than its factorization.

132540564 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18144 (or 18142 counting only the distinct ones).

The product of its (nonzero) digits is 14400, while the sum is 30.

The square root of 132540564 is about 11512.6262859523. The cubic root of 132540564 is about 509.8584305251.

Adding to 132540564 its reverse (465045231), we get a palindrome (597585795).

The spelling of 132540564 in words is "one hundred thirty-two million, five hundred forty thousand, five hundred sixty-four".