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145133235412025 = 52719228366112281
BaseRepresentation
bin100000111111111101110110…
…111100010001110000111001
3201000212121020201021212120012
4200333331312330101300321
5123010330331231141100
61232401142104511305
742366346604254550
oct4077756674216071
9630777221255505
10145133235412025
1142275728857873
121433b962a7b535
1362ca00ba66473
1427ba6b3b04d97
1511ba3adb17135
hex83ff76f11c39

145133235412025 has 144 divisors (see below), whose sum is σ = 218183587820928. Its totient is φ = 93799119744000.

The previous prime is 145133235411973. The next prime is 145133235412027. The reversal of 145133235412025 is 520214532331541.

It is not a de Polignac number, because 145133235412025 - 26 = 145133235411961 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (145133235412027) 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, 11817698885 + ... + 11817711165.

It is an arithmetic number, because the mean of its divisors is an integer number (1515163804312).

Almost surely, 2145133235412025 is an apocalyptic number.

It is an amenable number.

145133235412025 is a deficient number, since it is larger than the sum of its proper divisors (73050352408903).

145133235412025 is a wasteful number, since it uses less digits than its factorization.

145133235412025 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13280 (or 13256 counting only the distinct ones).

The product of its (nonzero) digits is 432000, while the sum is 41.

Adding to 145133235412025 its reverse (520214532331541), we get a palindrome (665347767743566).

The spelling of 145133235412025 in words is "one hundred forty-five trillion, one hundred thirty-three billion, two hundred thirty-five million, four hundred twelve thousand, twenty-five".

Divisors: 1 5 7 19 25 35 95 133 175 283 361 475 661 665 1415 1805 1981 2527 3305 3325 4627 5377 7075 9025 9905 12281 12559 12635 16525 23135 26885 37639 49525 61405 62795 63175 85967 87913 102163 115675 134425 187063 188195 233339 238621 307025 313975 429835 439565 510815 715141 935315 940975 1166695 1193105 1309441 1633373 1670347 2149175 2197825 2554075 3475523 3554197 3575705 4433441 4676575 5833475 5965525 6547205 8117741 8166865 8351735 17377615 17770985 17878525 22167205 24328661 24879379 31034087 32736025 40588705 40834325 41758675 56824187 66034937 67529743 86888075 88854925 110836025 121643305 124396895 154237079 155170435 202943525 284120935 330174685 337648715 462244559 472708201 608216525 621984475 771185395 775852175 1079659553 1254663803 1420604675 1650873425 1688243575 2297320703 2311222795 2363541005 2930504501 3855926975 5398297765 6273319015 8782646621 11486603515 11556113975 11817705025 14652522505 16081244921 20513531507 26991488825 31366595075 43649093357 43913233105 57433017575 73262612525 80406224605 102567657535 218245466785 219566165525 305543653499 402031123025 512838287675 829332773783 1091227333925 1527718267495 4146663868915 5805329416481 7638591337475 20733319344575 29026647082405 145133235412025