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125140140 = 223752861
BaseRepresentation
bin1110111010101…
…11110010101100
322201110210000000
413131113302230
5224013441030
620230104300
73046450026
oct735276254
9281423000
10125140140
1164702704
1235aab090
131cc06728
1412897016
15aebd860
hex7757cac

125140140 has 96 divisors (see below), whose sum is σ = 394269120. Its totient is φ = 33359040.

The previous prime is 125140129. The next prime is 125140163. The reversal of 125140140 is 41041521.

125140140 is a `hidden beast` number, since 12 + 514 + 0 + 140 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is an unprimeable number.

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 31 ways as a sum of consecutive naturals, for example, 42310 + ... + 45170.

It is an arithmetic number, because the mean of its divisors is an integer number (4106970).

Almost surely, 2125140140 is an apocalyptic number.

125140140 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 125140140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (197134560).

125140140 is an abundant number, since it is smaller than the sum of its proper divisors (269128980).

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

125140140 is an equidigital number, since it uses as much as digits as its factorization.

125140140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2891 (or 2871 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 18.

The square root of 125140140 is about 11186.6053832251. The cubic root of 125140140 is about 500.1867835485.

Adding to 125140140 its reverse (41041521), we get a palindrome (166181661).

The spelling of 125140140 in words is "one hundred twenty-five million, one hundred forty thousand, one hundred forty".

Divisors: 1 2 3 4 5 6 9 10 12 15 18 20 27 30 36 45 54 60 81 90 108 135 162 180 243 270 324 405 486 540 729 810 972 1215 1458 1620 2187 2430 2861 2916 3645 4374 4860 5722 7290 8583 8748 10935 11444 14305 14580 17166 21870 25749 28610 34332 42915 43740 51498 57220 77247 85830 102996 128745 154494 171660 231741 257490 308988 386235 463482 514980 695223 772470 926964 1158705 1390446 1544940 2085669 2317410 2780892 3476115 4171338 4634820 6257007 6952230 8342676 10428345 12514014 13904460 20856690 25028028 31285035 41713380 62570070 125140140