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132748875 = 345371873
BaseRepresentation
bin1111110100110…
…01011001001011
3100020210100020000
413322121121023
5232440431000
621101134043
73201226650
oct772313113
9306710200
10132748875
1168a2a216
123855a323
132166ba3c
14138b7c27
15b9c3000
hex7e9964b

132748875 has 80 divisors (see below), whose sum is σ = 282988992. Its totient is φ = 60652800.

The previous prime is 132748873. The next prime is 132748907. The reversal of 132748875 is 578847231.

It is not a de Polignac number, because 132748875 - 21 = 132748873 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 132748875.

It is not an unprimeable number, because it can be changed into a prime (132748873) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 69939 + ... + 71811.

Almost surely, 2132748875 is an apocalyptic number.

132748875 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

132748875 is an abundant number, since it is smaller than the sum of its proper divisors (150240117).

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

132748875 is an equidigital number, since it uses as much as digits as its factorization.

132748875 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1907 (or 1888 counting only the distinct ones).

The product of its digits is 376320, while the sum is 45.

The square root of 132748875 is about 11521.6698008579. The cubic root of 132748875 is about 510.1254016889.

The spelling of 132748875 in words is "one hundred thirty-two million, seven hundred forty-eight thousand, eight hundred seventy-five".

Divisors: 1 3 5 7 9 15 21 25 27 35 45 63 75 81 105 125 135 175 189 225 315 375 405 525 567 675 875 945 1125 1575 1873 2025 2625 2835 3375 4725 5619 7875 9365 10125 13111 14175 16857 23625 28095 39333 46825 50571 65555 70875 84285 117999 140475 151713 196665 234125 252855 327775 353997 421425 589995 702375 758565 983325 1061991 1264275 1638875 1769985 2107125 2949975 3792825 4916625 5309955 6321375 8849925 14749875 18964125 26549775 44249625 132748875