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132540345 = 3257331277
BaseRepresentation
bin1111110011001…
…10011110111001
3100020101202011200
413321212132321
5232412242340
621052444413
73166401000
oct771463671
9306352150
10132540345
11688a7583
1238479709
13215c7b52
1413861c37
15b981330
hex7e667b9

132540345 has 96 divisors (see below), whose sum is σ = 277555200. Its totient is φ = 58423680.

The previous prime is 132540323. The next prime is 132540361. The reversal of 132540345 is 543045231.

It is not a de Polignac number, because 132540345 - 26 = 132540281 is a prime.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 478347 + ... + 478623.

It is an arithmetic number, because the mean of its divisors is an integer number (2891200).

Almost surely, 2132540345 is an apocalyptic number.

132540345 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132540345 is an abundant number, since it is smaller than the sum of its proper divisors (145014855).

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

132540345 is a wasteful number, since it uses less digits than its factorization.

132540345 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 340 (or 323 counting only the distinct ones).

The product of its (nonzero) digits is 7200, while the sum is 27.

The square root of 132540345 is about 11512.6167746521. The cubic root of 132540345 is about 509.8581497077.

Adding to 132540345 its reverse (543045231), we get a palindrome (675585576).

The spelling of 132540345 in words is "one hundred thirty-two million, five hundred forty thousand, three hundred forty-five".

Divisors: 1 3 5 7 9 15 21 31 35 45 49 63 93 105 147 155 217 245 277 279 315 343 441 465 651 735 831 1029 1085 1385 1395 1519 1715 1939 1953 2205 2493 3087 3255 4155 4557 5145 5817 7595 8587 9695 9765 10633 12465 13573 13671 15435 17451 22785 25761 29085 31899 40719 42935 53165 60109 67865 68355 77283 87255 95011 95697 122157 128805 159495 180327 203595 285033 300545 386415 420763 475055 478485 540981 610785 855099 901635 1262289 1425165 2103815 2704905 2945341 3786867 4275495 6311445 8836023 14726705 18934335 26508069 44180115 132540345