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165148000 = 2553194153
BaseRepresentation
bin10011101011111…
…11010101100000
3102111202101110121
421311333111200
5314234214000
624215410024
74043510023
oct1165772540
9374671417
10165148000
1185249156
1247383914
13282a3a14
1417d0d1ba
15e772b1a
hex9d7f560

165148000 has 192 divisors, whose sum is σ = 445798080. Its totient is φ = 59904000.

The previous prime is 165147967. The next prime is 165148001. The reversal of 165148000 is 841561.

It is a Harshad number since it is a multiple of its sum of digits (25).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (165148001) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3115974 + ... + 3116026.

It is an arithmetic number, because the mean of its divisors is an integer number (2321865).

Almost surely, 2165148000 is an apocalyptic number.

165148000 is a gapful number since it is divisible by the number (10) 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 165148000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (222899040).

165148000 is an abundant number, since it is smaller than the sum of its proper divisors (280650080).

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

165148000 is a wasteful number, since it uses less digits than its factorization.

165148000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 138 (or 120 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 25.

The square root of 165148000 is about 12850.9921795945. The cubic root of 165148000 is about 548.6445964120.

Adding to 165148000 its reverse (841561), we get a palindrome (165989561).

The spelling of 165148000 in words is "one hundred sixty-five million, one hundred forty-eight thousand".