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148128 = 2531543
BaseRepresentation
bin100100001010100000
321112012020
4210022200
514220003
63101440
71154601
oct441240
9245166
10148128
11a1322
1271880
1352566
143bda8
152dd53
hex242a0

148128 has 24 divisors (see below), whose sum is σ = 389088. Its totient is φ = 49344.

The previous prime is 148123. The next prime is 148139. The reversal of 148128 is 821841.

It is a tau number, because it is divible by the number of its divisors (24).

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 148098 and 148107.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148128.

It is not an unprimeable number, because it can be changed into a prime (148123) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (5) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 676 + ... + 867.

It is an arithmetic number, because the mean of its divisors is an integer number (16212).

2148128 is an apocalyptic number.

It is an amenable number.

148128 is an abundant number, since it is smaller than the sum of its proper divisors (240960).

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

148128 is a wasteful number, since it uses less digits than its factorization.

148128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1556 (or 1548 counting only the distinct ones).

The product of its digits is 512, while the sum is 24.

The square root of 148128 is about 384.8740053576. The cubic root of 148128 is about 52.9109695508.

Adding to 148128 its reverse (821841), we get a palindrome (969969).

It can be divided in two parts, 148 and 128, that added together give a triangular number (276 = T23).

The spelling of 148128 in words is "one hundred forty-eight thousand, one hundred twenty-eight".

Divisors: 1 2 3 4 6 8 12 16 24 32 48 96 1543 3086 4629 6172 9258 12344 18516 24688 37032 49376 74064 148128