148333200 has 120 divisors (see below), whose sum is σ = 482129856. Its totient is φ = 38976000.

The previous prime is 148333181. The next prime is 148333217. The reversal of 148333200 is 2333841.

It is a tau number, because it is divible by the number of its divisors (120).

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 23 ways as a sum of consecutive naturals, for example, 84330 + ... + 86070.

Almost surely, 2^148333200 is an apocalyptic number.

148333200 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 148333200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241064928).

148333200 is an abundant number, since it is smaller than the sum of its proper divisors (333796656).

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

148333200 is a wasteful number, since it uses less digits than its factorization.

148333200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1833 (or 1822 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

The square root of 148333200 is about 12179.2117971567. The cubic root of 148333200 is about 529.3539059500.

The spelling of 148333200 in words is "one hundred forty-eight million, three hundred thirty-three thousand, two hundred".