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148608 = 273343
BaseRepresentation
bin100100010010000000
321112212000
4210102000
514223413
63104000
71156155
oct442200
9245760
10148608
11a1719
1272000
1352845
143c22c
152e073
hex24480

148608 has 64 divisors (see below), whose sum is σ = 448800. Its totient is φ = 48384.

The previous prime is 148579. The next prime is 148609. The reversal of 148608 is 806841.

It is a tau number, because it is divible by the number of its divisors (64).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nialpdrome in base 8 and base 12.

It is a zygodrome in base 8.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148608.

It is not an unprimeable number, because it can be changed into a prime (148609) by changing a digit.

148608 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3435 + ... + 3477.

2148608 is an apocalyptic number.

148608 is a gapful number since it is divisible by the number (18) 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 148608, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224400).

148608 is an abundant number, since it is smaller than the sum of its proper divisors (300192).

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

148608 is an equidigital number, since it uses as much as digits as its factorization.

148608 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148608 is about 385.4970817010. The cubic root of 148608 is about 52.9680595493.

The spelling of 148608 in words is "one hundred forty-eight thousand, six hundred eight".

Divisors: 1 2 3 4 6 8 9 12 16 18 24 27 32 36 43 48 54 64 72 86 96 108 128 129 144 172 192 216 258 288 344 384 387 432 516 576 688 774 864 1032 1152 1161 1376 1548 1728 2064 2322 2752 3096 3456 4128 4644 5504 6192 8256 9288 12384 16512 18576 24768 37152 49536 74304 148608