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165136125 = 35372111943
BaseRepresentation
bin10011101011111…
…00011011111101
3102111201210011210
421311330123331
5314233324000
624215235033
74043430300
oct1165743375
9374653153
10165136125
1185240240
1247378a79
132829b4ab
1417d08b37
15e76e350
hex9d7c6fd

165136125 has 192 divisors, whose sum is σ = 375598080. Its totient is φ = 63504000.

The previous prime is 165136123. The next prime is 165136129. The reversal of 165136125 is 521631561.

It is not a de Polignac number, because 165136125 - 21 = 165136123 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165136092 and 165136101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165136123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3840354 + ... + 3840396.

It is an arithmetic number, because the mean of its divisors is an integer number (1956240).

Almost surely, 2165136125 is an apocalyptic number.

165136125 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

165136125 is an abundant number, since it is smaller than the sum of its proper divisors (210461955).

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

165136125 is a wasteful number, since it uses less digits than its factorization.

165136125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 88 counting only the distinct ones).

The product of its digits is 5400, while the sum is 30.

The square root of 165136125 is about 12850.5301447061. The cubic root of 165136125 is about 548.6314459636.

Adding to 165136125 its reverse (521631561), we get a palindrome (686767686).

The spelling of 165136125 in words is "one hundred sixty-five million, one hundred thirty-six thousand, one hundred twenty-five".