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145332175725 = 33521176925453
BaseRepresentation
bin1000011101011001111…
…0010000001101101101
3111220010110010110202000
42013112132100031231
54340120014110400
6150433100522513
713333316053062
oct2072636201555
9456113113660
10145332175725
11566a9251740
12241bb550439
13109214a5a69
14706987ac69
153ba8de0600
hex21d679036d

145332175725 has 96 divisors (see below), whose sum is σ = 291641750400. Its totient is φ = 70369689600.

The previous prime is 145332175699. The next prime is 145332175753. The reversal of 145332175725 is 527571233541.

145332175725 is a `hidden beast` number, since 1 + 4 + 53 + 3 + 21 + 7 + 572 + 5 = 666.

145332175725 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 145332175725 - 25 = 145332175693 is a prime.

It is a super-2 number, since 2×1453321757252 (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5697099 + ... + 5722551.

It is an arithmetic number, because the mean of its divisors is an integer number (3037934900).

Almost surely, 2145332175725 is an apocalyptic number.

145332175725 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

145332175725 is an abundant number, since it is smaller than the sum of its proper divisors (146309574675).

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

145332175725 is a wasteful number, since it uses less digits than its factorization.

145332175725 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26252 (or 26241 counting only the distinct ones).

The product of its digits is 882000, while the sum is 45.

The spelling of 145332175725 in words is "one hundred forty-five billion, three hundred thirty-two million, one hundred seventy-five thousand, seven hundred twenty-five".

Divisors: 1 3 5 9 11 15 25 27 33 45 55 75 99 135 165 225 275 297 495 675 769 825 1485 2307 2475 3845 6921 7425 8459 11535 19225 20763 25377 25453 34605 42295 57675 76131 76359 103815 126885 127265 173025 211475 228393 229077 279983 380655 381795 519075 634425 636325 687231 839949 1141965 1145385 1399915 1903275 1908975 2519847 3436155 4199745 5709825 5726925 6999575 7559541 12599235 17180775 19573357 20998725 37797705 58720071 62996175 97866785 176160213 188988525 215306927 293600355 489333925 528480639 645920781 880801065 1076534635 1468001775 1937762343 2642403195 3229603905 4404005325 5382673175 5813287029 9688811715 13212015975 16148019525 29066435145 48444058575 145332175725