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132275130 = 235131771281
BaseRepresentation
bin1111110001001…
…01101110111010
3100012220021100220
413320211232322
5232330301010
621043040510
73164214531
oct770455672
9305807326
10132275130
1168736299
1238370136
1321534210
14137d3318
15b92c970
hex7e25bba

132275130 has 128 divisors (see below), whose sum is σ = 368395776. Its totient is φ = 30105600.

The previous prime is 132275123. The next prime is 132275137. The reversal of 132275130 is 31572231.

It is an interprime number because it is at equal distance from previous prime (132275123) and next prime (132275137).

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 132275130.

It is not an unprimeable number, because it can be changed into a prime (132275137) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 470590 + ... + 470870.

It is an arithmetic number, because the mean of its divisors is an integer number (2878092).

Almost surely, 2132275130 is an apocalyptic number.

132275130 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 132275130, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184197888).

132275130 is an abundant number, since it is smaller than the sum of its proper divisors (236120646).

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

132275130 is a wasteful number, since it uses less digits than its factorization.

132275130 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 392.

The product of its (nonzero) digits is 1260, while the sum is 24.

The square root of 132275130 is about 11501.0925567965. The cubic root of 132275130 is about 509.5178449669.

The spelling of 132275130 in words is "one hundred thirty-two million, two hundred seventy-five thousand, one hundred thirty".

Divisors: 1 2 3 5 6 10 13 15 17 26 30 34 39 51 65 71 78 85 102 130 142 170 195 213 221 255 281 355 390 426 442 510 562 663 710 843 923 1065 1105 1207 1326 1405 1686 1846 2130 2210 2414 2769 2810 3315 3621 3653 4215 4615 4777 5538 6035 6630 7242 7306 8430 9230 9554 10959 12070 13845 14331 15691 18105 18265 19951 21918 23885 27690 28662 31382 36210 36530 39902 47073 47770 54795 59853 62101 71655 78455 94146 99755 109590 119706 124202 143310 156910 186303 199510 235365 259363 299265 310505 339167 372606 470730 518726 598530 621010 678334 778089 931515 1017501 1296815 1556178 1695835 1863030 2035002 2593630 3391670 3890445 4409171 5087505 7780890 8818342 10175010 13227513 22045855 26455026 44091710 66137565 132275130