148200 has 96 divisors (see below), whose sum is σ = 520800. Its totient is φ = 34560.

The previous prime is 148199. The next prime is 148201. The reversal of 148200 is 2841.

It is an interprime number because it is at equal distance from previous prime (148199) and next prime (148201).

It is a Harshad number since it is a multiple of its sum of digits (15).

It is a self number, because there is not a number n which added to its sum of digits gives 148200.

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 148200.

It is not an unprimeable number, because it can be changed into a prime (148201) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7791 + ... + 7809.

It is an arithmetic number, because the mean of its divisors is an integer number (5425).

2¹⁴⁸²⁰⁰ is an apocalyptic number.

148200 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 148200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260400).

148200 is an abundant number, since it is smaller than the sum of its proper divisors (372600).

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

148200 is a wasteful number, since it uses less digits than its factorization.

148200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 51 (or 42 counting only the distinct ones).

The product of its (nonzero) digits is 64, while the sum is 15.

The square root of 148200 is about 384.9675310984. The cubic root of 148200 is about 52.9195409052.

The spelling of 148200 in words is "one hundred forty-eight thousand, two hundred".