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125137650 = 235211149509
BaseRepresentation
bin1110111010101…
…11001011110010
322201110122120210
413131113023302
5224013401100
620230044550
73046436541
oct735271362
9281418523
10125137650
1164700850
1235aa9756
131cc05561
1412896158
15aebcc50
hex77572f2

125137650 has 96 divisors (see below), whose sum is σ = 341496000. Its totient is φ = 30073600.

The previous prime is 125137633. The next prime is 125137673. The reversal of 125137650 is 56731521.

It is a Harshad number since it is a multiple of its sum of digits (30).

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 47 ways as a sum of consecutive naturals, for example, 245596 + ... + 246104.

It is an arithmetic number, because the mean of its divisors is an integer number (3557250).

Almost surely, 2125137650 is an apocalyptic number.

125137650 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 125137650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170748000).

125137650 is an abundant number, since it is smaller than the sum of its proper divisors (216358350).

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

125137650 is a wasteful number, since it uses less digits than its factorization.

125137650 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 684 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 6300, while the sum is 30.

The square root of 125137650 is about 11186.4940888555. The cubic root of 125137650 is about 500.1834660055.

The spelling of 125137650 in words is "one hundred twenty-five million, one hundred thirty-seven thousand, six hundred fifty".

Divisors: 1 2 3 5 6 10 11 15 22 25 30 33 50 55 66 75 110 149 150 165 275 298 330 447 509 550 745 825 894 1018 1490 1527 1639 1650 2235 2545 3054 3278 3725 4470 4917 5090 5599 7450 7635 8195 9834 11175 11198 12725 15270 16390 16797 22350 24585 25450 27995 33594 38175 40975 49170 55990 75841 76350 81950 83985 122925 139975 151682 167970 227523 245850 279950 379205 419925 455046 758410 834251 839850 1137615 1668502 1896025 2275230 2502753 3792050 4171255 5005506 5688075 8342510 11376150 12513765 20856275 25027530 41712550 62568825 125137650