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125139840 = 273579311
BaseRepresentation
bin1110111010101…
…11101110000000
322201110202120220
413131113232000
5224013433330
620230103040
73046446120
oct735275600
9281422526
10125139840
1164702461
1235aaaa80
131cc06557
1412896c80
15aebd710
hex7757b80

125139840 has 128 divisors (see below), whose sum is σ = 455915520. Its totient is φ = 28600320.

The previous prime is 125139829. The next prime is 125139851. The reversal of 125139840 is 48931521.

It is an interprime number because it is at equal distance from previous prime (125139829) and next prime (125139851).

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8785 + ... + 18095.

It is an arithmetic number, because the mean of its divisors is an integer number (3561840).

Almost surely, 2125139840 is an apocalyptic number.

125139840 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 125139840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227957760).

125139840 is an abundant number, since it is smaller than the sum of its proper divisors (330775680).

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

125139840 is an equidigital number, since it uses as much as digits as its factorization.

125139840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9340 (or 9328 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 125139840 is about 11186.5919743235. The cubic root of 125139840 is about 500.1863838468.

The spelling of 125139840 in words is "one hundred twenty-five million, one hundred thirty-nine thousand, eight hundred forty".

Divisors: 1 2 3 4 5 6 7 8 10 12 14 15 16 20 21 24 28 30 32 35 40 42 48 56 60 64 70 80 84 96 105 112 120 128 140 160 168 192 210 224 240 280 320 336 384 420 448 480 560 640 672 840 896 960 1120 1344 1680 1920 2240 2688 3360 4480 6720 9311 13440 18622 27933 37244 46555 55866 65177 74488 93110 111732 130354 139665 148976 186220 195531 223464 260708 279330 297952 325885 372440 391062 446928 521416 558660 595904 651770 744880 782124 893856 977655 1042832 1117320 1191808 1303540 1489760 1564248 1787712 1955310 2085664 2234640 2607080 2979520 3128496 3575424 3910620 4171328 4469280 5214160 5959040 6256992 7821240 8342656 8938560 10428320 12513984 15642480 17877120 20856640 25027968 31284960 41713280 62569920 125139840