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125404125 = 35371143101
BaseRepresentation
bin1110111100110…
…00001111011101
322201222012010020
413132120033131
5224100413000
620235502353
73051626460
oct736301735
9281865106
10125404125
1164872a80
1235bb79b9
131cc99932
14129252d7
15b021ba0
hex77983dd

125404125 has 128 divisors (see below), whose sum is σ = 268849152. Its totient is φ = 50400000.

The previous prime is 125404061. The next prime is 125404127. The reversal of 125404125 is 521404521.

It is not a de Polignac number, because 125404125 - 26 = 125404061 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 125404095 and 125404104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (125404127) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 1241575 + ... + 1241675.

It is an arithmetic number, because the mean of its divisors is an integer number (2100384).

Almost surely, 2125404125 is an apocalyptic number.

125404125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

125404125 is an abundant number, since it is smaller than the sum of its proper divisors (143445027).

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

125404125 is a wasteful number, since it uses less digits than its factorization.

125404125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 180 (or 170 counting only the distinct ones).

The product of its (nonzero) digits is 1600, while the sum is 24.

The square root of 125404125 is about 11198.3983229746. The cubic root of 125404125 is about 500.5382536913.

Adding to 125404125 its reverse (521404521), we get a palindrome (646808646).

The spelling of 125404125 in words is "one hundred twenty-five million, four hundred four thousand, one hundred twenty-five".

Divisors: 1 3 5 7 11 15 21 25 33 35 43 55 75 77 101 105 125 129 165 175 215 231 275 301 303 375 385 473 505 525 645 707 825 875 903 1075 1111 1155 1375 1419 1505 1515 1925 2121 2365 2525 2625 3225 3311 3333 3535 4125 4343 4515 5375 5555 5775 7095 7525 7575 7777 9625 9933 10605 11825 12625 13029 16125 16555 16665 17675 21715 22575 23331 27775 28875 30401 35475 37625 37875 38885 47773 49665 53025 59125 65145 82775 83325 88375 91203 108575 112875 116655 138875 143319 152005 177375 194425 238865 248325 265125 325725 334411 413875 416625 456015 542875 583275 716595 760025 972125 1003233 1194325 1241625 1628625 1672055 2280075 2916375 3582975 3800125 5016165 5971625 8360275 11400375 17914875 25080825 41801375 125404125