148531200 has 144 divisors (see below), whose sum is σ = 491531040. Its totient is φ = 39567360.

The previous prime is 148531183. The next prime is 148531231. The reversal of 148531200 is 2135841.

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

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 153117 + ... + 154083.

It is an arithmetic number, because the mean of its divisors is an integer number (3413410).

Almost surely, 2^148531200 is an apocalyptic number.

148531200 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 148531200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (245765520).

148531200 is an abundant number, since it is smaller than the sum of its proper divisors (342999840).

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

148531200 is an equidigital number, since it uses as much as digits as its factorization.

148531200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1002 (or 977 counting only the distinct ones).

The product of its (nonzero) digits is 960, while the sum is 24.

The square root of 148531200 is about 12187.3376912269. The cubic root of 148531200 is about 529.5893341895.

The spelling of 148531200 in words is "one hundred forty-eight million, five hundred thirty-one thousand, two hundred".