148327200 has 432 divisors, whose sum is σ = 625584960. Its totient is φ = 33592320.

The previous prime is 148327189. The next prime is 148327247. The reversal of 148327200 is 2723841.

It is a tau number, because it is divible by the number of its divisors (432).

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

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

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 1360746 + ... + 1360854.

Almost surely, 2^148327200 is an apocalyptic number.

148327200 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 148327200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312792480).

148327200 is an abundant number, since it is smaller than the sum of its proper divisors (477257760).

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

148327200 is a wasteful number, since it uses less digits than its factorization.

148327200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 151 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2688, while the sum is 27.

The square root of 148327200 is about 12178.9654733068. The cubic root of 148327200 is about 529.3467684913.

The spelling of 148327200 in words is "one hundred forty-eight million, three hundred twenty-seven thousand, two hundred".