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132248151 = 32717196797
BaseRepresentation
bin1111110000111…
…11001001010111
3100012211220100200
413320133021113
5232323420101
621042311543
73164043060
oct770371127
9305756320
10132248151
1168717aa2
12383585b3
1321524b59
14137c7567
15b924986
hex7e1f257

132248151 has 96 divisors (see below), whose sum is σ = 249500160. Its totient is φ = 65691648.

The previous prime is 132248147. The next prime is 132248153. The reversal of 132248151 is 151842231.

132248151 is a `hidden beast` number, since 132 + 2 + 481 + 51 = 666.

It is not a de Polignac number, because 132248151 - 22 = 132248147 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (132248153) 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 95 ways as a sum of consecutive naturals, for example, 1363335 + ... + 1363431.

It is an arithmetic number, because the mean of its divisors is an integer number (2598960).

Almost surely, 2132248151 is an apocalyptic number.

132248151 is a deficient number, since it is larger than the sum of its proper divisors (117252009).

132248151 is a wasteful number, since it uses less digits than its factorization.

132248151 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 210 counting only the distinct ones).

The product of its digits is 1920, while the sum is 27.

The square root of 132248151 is about 11499.9196084147. The cubic root of 132248151 is about 509.4832019804.

The spelling of 132248151 in words is "one hundred thirty-two million, two hundred forty-eight thousand, one hundred fifty-one".

Divisors: 1 3 7 9 17 19 21 51 57 63 67 97 119 133 153 171 201 291 323 357 399 469 603 679 873 969 1071 1139 1197 1273 1407 1649 1843 2037 2261 2907 3417 3819 4221 4947 5529 6111 6499 6783 7973 8911 10251 11457 11543 12901 14841 16587 19497 20349 21641 23919 26733 31331 34629 38703 45493 58491 64923 71757 80199 93993 103887 110483 116109 123481 136479 151487 194769 219317 281979 331449 370443 409437 454461 657951 773381 864367 994347 1111329 1363383 1973853 2099177 2320143 2593101 6297531 6960429 7779303 14694239 18892593 44082717 132248151