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125345196 = 223237139677
BaseRepresentation
bin1110111100010…
…01110110101100
322201212012021200
413132021312230
5224042021241
620234325500
73051262614
oct736116654
9281765250
10125345196
1164832779
1235b89890
131cc78b72
141290ba44
15b00e4b6
hex7789dac

125345196 has 72 divisors (see below), whose sum is σ = 328233360. Its totient is φ = 40300416.

The previous prime is 125345191. The next prime is 125345219. The reversal of 125345196 is 691543521.

125345196 is a `hidden beast` number, since 125 + 345 + 196 = 666.

It is a super-2 number, since 2×1253451962 = 31422836320556832, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 125345196.

It is not an unprimeable number, because it can be changed into a prime (125345191) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 184810 + ... + 185486.

Almost surely, 2125345196 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 125345196, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (164116680).

125345196 is an abundant number, since it is smaller than the sum of its proper divisors (202888164).

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

125345196 is a wasteful number, since it uses less digits than its factorization.

125345196 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 863 (or 858 counting only the distinct ones).

The product of its digits is 32400, while the sum is 36.

The square root of 125345196 is about 11195.7668786019. The cubic root of 125345196 is about 500.4598383012.

The spelling of 125345196 in words is "one hundred twenty-five million, three hundred forty-five thousand, one hundred ninety-six".

Divisors: 1 2 3 4 6 9 12 18 36 37 74 111 139 148 222 278 333 417 444 556 666 677 834 1251 1332 1354 1668 2031 2502 2708 4062 5004 5143 6093 8124 10286 12186 15429 20572 24372 25049 30858 46287 50098 61716 75147 92574 94103 100196 150294 185148 188206 225441 282309 300588 376412 450882 564618 846927 901764 1129236 1693854 3387708 3481811 6963622 10445433 13927244 20890866 31336299 41781732 62672598 125345196