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125145216 = 273372739
BaseRepresentation
bin1110111010110…
…01000010000000
322201111000222000
413131121002000
5224014121331
620230144000
73046500600
oct735310200
9281430860
10125145216
11647064a9
1235ab2000
131cc08b31
1412898c00
15aec00e6
hex7759080

125145216 has 192 divisors, whose sum is σ = 430236000. Its totient is φ = 35707392.

The previous prime is 125145199. The next prime is 125145257. The reversal of 125145216 is 612541521.

125145216 is a `hidden beast` number, since 125 + 14 + 521 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-2 number, since 2×1251452162 = 31322650175373312, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 125145216.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 168975 + ... + 169713.

Almost surely, 2125145216 is an apocalyptic number.

125145216 is a gapful number since it is divisible by the number (16) 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 125145216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (215118000).

125145216 is an abundant number, since it is smaller than the sum of its proper divisors (305090784).

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

125145216 is an equidigital number, since it uses as much as digits as its factorization.

125145216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 776 (or 751 counting only the distinct ones).

The product of its digits is 2400, while the sum is 27.

The square root of 125145216 is about 11186.8322594021. The cubic root of 125145216 is about 500.1935464032.

Adding to 125145216 its reverse (612541521), we get a palindrome (737686737).

The spelling of 125145216 in words is "one hundred twenty-five million, one hundred forty-five thousand, two hundred sixteen".