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125335140 = 22357289479
BaseRepresentation
bin1110111100001…
…11011001100100
322201211200111020
413132013121210
5224041211030
620234211140
73051221400
oct736073144
9281750436
10125335140
1164826167
1235b83ab0
131cc74408
1412908100
15b00b510
hex7787664

125335140 has 144 divisors (see below), whose sum is σ = 413683200. Its totient is φ = 28267008.

The previous prime is 125335117. The next prime is 125335151. The reversal of 125335140 is 41533521.

125335140 is digitally balanced in base 9, because in such base it contains all the possibile digits an equal number of times.

125335140 is strictly pandigital in base 9.

It is a self number, because there is not a number n which added to its sum of digits gives 125335140.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 261421 + ... + 261899.

It is an arithmetic number, because the mean of its divisors is an integer number (2872800).

Almost surely, 2125335140 is an apocalyptic number.

125335140 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125335140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (206841600).

125335140 is an abundant number, since it is smaller than the sum of its proper divisors (288348060).

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

125335140 is a wasteful number, since it uses less digits than its factorization.

125335140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 594 (or 585 counting only the distinct ones).

The product of its (nonzero) digits is 1800, while the sum is 24.

The square root of 125335140 is about 11195.3177712828. The cubic root of 125335140 is about 500.4464545713.

Adding to 125335140 its reverse (41533521), we get a palindrome (166868661).

The spelling of 125335140 in words is "one hundred twenty-five million, three hundred thirty-five thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 7 10 12 14 15 20 21 28 30 35 42 49 60 70 84 89 98 105 140 147 178 196 210 245 267 294 356 420 445 479 490 534 588 623 735 890 958 980 1068 1246 1335 1437 1470 1780 1869 1916 2395 2492 2670 2874 2940 3115 3353 3738 4361 4790 5340 5748 6230 6706 7185 7476 8722 9345 9580 10059 12460 13083 13412 14370 16765 17444 18690 20118 21805 23471 26166 28740 33530 37380 40236 42631 43610 46942 50295 52332 65415 67060 70413 85262 87220 93884 100590 117355 127893 130830 140826 170524 201180 213155 234710 255786 261660 281652 298417 352065 426310 469420 511572 596834 639465 704130 852620 895251 1193668 1278930 1408260 1492085 1790502 2088919 2557860 2984170 3581004 4177838 4476255 5968340 6266757 8355676 8952510 10444595 12533514 17905020 20889190 25067028 31333785 41778380 62667570 125335140