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166148125 = 54112133
BaseRepresentation
bin10011110011100…
…11100000011101
3102120122012101021
421321303200131
5320013220000
624253044141
74055143603
oct1171634035
9376565337
10166148125
1185871600
1247786651
1328564000
14180cd873
15e8be11a
hex9e7381d

166148125 has 60 divisors (see below), whose sum is σ = 247217740. Its totient is φ = 111540000.

The previous prime is 166148117. The next prime is 166148153. The reversal of 166148125 is 521841661.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 10 ways, for example, as 131125401 + 35022724 = 11451^2 + 5918^2 .

It is not a de Polignac number, because 166148125 - 23 = 166148117 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 12780619 + ... + 12780631.

Almost surely, 2166148125 is an apocalyptic number.

It is an amenable number.

166148125 is a deficient number, since it is larger than the sum of its proper divisors (81069615).

166148125 is an frugal number, since it uses more digits than its factorization.

166148125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 81 (or 29 counting only the distinct ones).

The product of its digits is 11520, while the sum is 34.

The square root of 166148125 is about 12889.8458097838. The cubic root of 166148125 is about 549.7498862775.

Adding to 166148125 its reverse (521841661), we get a palindrome (687989786).

The spelling of 166148125 in words is "one hundred sixty-six million, one hundred forty-eight thousand, one hundred twenty-five".

Divisors: 1 5 11 13 25 55 65 121 125 143 169 275 325 605 625 715 845 1375 1573 1625 1859 2197 3025 3575 4225 6875 7865 8125 9295 10985 15125 17875 20449 21125 24167 39325 46475 54925 75625 89375 102245 105625 120835 196625 232375 265837 274625 511225 604175 983125 1161875 1329185 1373125 2556125 3020875 6645925 12780625 15104375 33229625 166148125