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164125137 = 3116477687
BaseRepresentation
bin10011100100001…
…01100111010001
3102102211102100210
421302011213101
5314004001022
624141434333
74032016641
oct1162054721
9372742323
10164125137
118470a710
1246b6b9a9
1328006287
1417b24521
15e61ea0c
hex9c859d1

164125137 has 16 divisors (see below), whose sum is σ = 239127552. Its totient is φ = 99303120.

The previous prime is 164125133. The next prime is 164125141. The reversal of 164125137 is 731521461.

It is an interprime number because it is at equal distance from previous prime (164125133) and next prime (164125141).

It is not a de Polignac number, because 164125137 - 22 = 164125133 is a prime.

It is not an unprimeable number, because it can be changed into a prime (164125133) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 17508 + ... + 25194.

It is an arithmetic number, because the mean of its divisors is an integer number (14945472).

Almost surely, 2164125137 is an apocalyptic number.

It is an amenable number.

164125137 is a deficient number, since it is larger than the sum of its proper divisors (75002415).

164125137 is a wasteful number, since it uses less digits than its factorization.

164125137 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8348.

The product of its digits is 5040, while the sum is 30.

The square root of 164125137 is about 12811.1333222319. The cubic root of 164125137 is about 547.5095521780.

Adding to 164125137 its reverse (731521461), we get a palindrome (895646598).

The spelling of 164125137 in words is "one hundred sixty-four million, one hundred twenty-five thousand, one hundred thirty-seven".

Divisors: 1 3 11 33 647 1941 7117 7687 21351 23061 84557 253671 4973489 14920467 54708379 164125137