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132098925 = 35271719241
BaseRepresentation
bin1111101111110…
…10101101101101
3100012120022122210
413313322231231
5232304131200
621035201033
73162552030
oct767725555
9305508583
10132098925
1168625972
12382a6179
13214a1c5a
1413789017
15b8e5650
hex7dfab6d

132098925 has 144 divisors (see below), whose sum is σ = 285731712. Its totient is φ = 52531200.

The previous prime is 132098909. The next prime is 132098927. The reversal of 132098925 is 529890231.

It is not a de Polignac number, because 132098925 - 24 = 132098909 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132098927) 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, 3221905 + ... + 3221945.

It is an arithmetic number, because the mean of its divisors is an integer number (1984248).

Almost surely, 2132098925 is an apocalyptic number.

132098925 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

132098925 is an abundant number, since it is smaller than the sum of its proper divisors (153632787).

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

132098925 is a wasteful number, since it uses less digits than its factorization.

132098925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 116 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 38880, while the sum is 39.

The square root of 132098925 is about 11493.4296448014. The cubic root of 132098925 is about 509.2914998562.

The spelling of 132098925 in words is "one hundred thirty-two million, ninety-eight thousand, nine hundred twenty-five".

Divisors: 1 3 5 7 15 17 19 21 25 35 41 51 57 75 85 95 105 119 123 133 175 205 255 285 287 323 357 361 399 425 475 525 595 615 665 697 779 861 969 1025 1083 1275 1425 1435 1615 1785 1805 1995 2091 2261 2337 2527 2975 3075 3325 3485 3895 4305 4845 4879 5415 5453 6137 6783 7175 7581 8075 8925 9025 9975 10455 11305 11685 12635 13243 14637 14801 16359 17425 18411 19475 21525 24225 24395 27075 27265 30685 33915 37905 39729 42959 44403 52275 56525 58425 63175 66215 73185 74005 81795 92055 92701 103607 121975 128877 136325 153425 169575 189525 198645 214795 222015 251617 278103 310821 331075 365925 370025 408975 460275 463505 518035 644385 754851 993225 1073975 1110075 1258085 1390515 1554105 1761319 2317525 2590175 3221925 3774255 5283957 6290425 6952575 7770525 8806595 18871275 26419785 44032975 132098925