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148800 = 2635231
BaseRepresentation
bin100100010101000000
321120010010
4210111000
514230200
63104520
71156551
oct442500
9246103
10148800
11a1883
1272140
1352962
143c328
152e150
hex24540

148800 has 84 divisors (see below), whose sum is σ = 503936. Its totient is φ = 38400.

The previous prime is 148793. The next prime is 148817. The reversal of 148800 is 8841.

Added to its reverse (8841) it gives a triangular number (157641 = T561).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 148800.

It is an unprimeable number.

148800 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

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 11 ways as a sum of consecutive naturals, for example, 4785 + ... + 4815.

2148800 is an apocalyptic number.

148800 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 148800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (251968).

148800 is an abundant number, since it is smaller than the sum of its proper divisors (355136).

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

148800 is a wasteful number, since it uses less digits than its factorization.

148800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 56 (or 41 counting only the distinct ones).

The product of its (nonzero) digits is 256, while the sum is 21.

The square root of 148800 is about 385.7460304397. The cubic root of 148800 is about 52.9908611275.

Adding to 148800 its reverse (8841), we get a triangular number (157641 = T561).

The spelling of 148800 in words is "one hundred forty-eight thousand, eight hundred".

Divisors: 1 2 3 4 5 6 8 10 12 15 16 20 24 25 30 31 32 40 48 50 60 62 64 75 80 93 96 100 120 124 150 155 160 186 192 200 240 248 300 310 320 372 400 465 480 496 600 620 744 775 800 930 960 992 1200 1240 1488 1550 1600 1860 1984 2325 2400 2480 2976 3100 3720 4650 4800 4960 5952 6200 7440 9300 9920 12400 14880 18600 24800 29760 37200 49600 74400 148800