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131920425 = 325271317379
BaseRepresentation
bin1111101110011…
…11001000101001
3100012020020210200
413313033020221
5232232423200
621031302413
73161206440
oct767171051
9305206720
10131920425
116851384a
123821aa09
132143b930
141373dd57
15b8ac800
hex7dcf229

131920425 has 144 divisors (see below), whose sum is σ = 308730240. Its totient is φ = 52254720.

The previous prime is 131920421. The next prime is 131920457. The reversal of 131920425 is 524029131.

It is not a de Polignac number, because 131920425 - 22 = 131920421 is a prime.

It is not an unprimeable number, because it can be changed into a prime (131920421) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 347886 + ... + 348264.

It is an arithmetic number, because the mean of its divisors is an integer number (2143960).

Almost surely, 2131920425 is an apocalyptic number.

131920425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

131920425 is an abundant number, since it is smaller than the sum of its proper divisors (176809815).

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

131920425 is a wasteful number, since it uses less digits than its factorization.

131920425 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 432 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 27.

The square root of 131920425 is about 11485.6617136323. The cubic root of 131920425 is about 509.0620013686.

Adding to 131920425 its reverse (524029131), we get a palindrome (655949556).

The spelling of 131920425 in words is "one hundred thirty-one million, nine hundred twenty thousand, four hundred twenty-five".

Divisors: 1 3 5 7 9 13 15 17 21 25 35 39 45 51 63 65 75 85 91 105 117 119 153 175 195 221 225 255 273 315 325 357 379 425 455 525 585 595 663 765 819 975 1071 1105 1137 1275 1365 1547 1575 1785 1895 1989 2275 2653 2925 2975 3315 3411 3825 4095 4641 4927 5355 5525 5685 6443 6825 7735 7959 8925 9475 9945 13265 13923 14781 16575 17055 19329 20475 23205 23877 24635 26775 28425 32215 34489 38675 39795 44343 45101 49725 57987 66325 69615 73905 83759 85275 96645 103467 116025 119385 123175 135303 161075 172445 198975 221715 225505 251277 289935 310401 348075 369525 405909 418795 483225 517335 586313 596925 676515 753831 862225 1108575 1127525 1256385 1449675 1552005 1758939 2029545 2093975 2586675 2931565 3382575 3769155 5276817 6281925 7760025 8794695 10147725 14657825 18845775 26384085 43973475 131920425