148132800 has 294 divisors, whose sum is σ = 550802048. Its totient is φ = 39191040.

The previous prime is 148132799. The next prime is 148132813. The reversal of 148132800 is 8231841.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 41 ways as a sum of consecutive naturals, for example, 1166337 + ... + 1166463.

Almost surely, 2^148132800 is an apocalyptic number.

148132800 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 148132800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (275401024).

148132800 is an abundant number, since it is smaller than the sum of its proper divisors (402669248).

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

148132800 is an equidigital number, since it uses as much as digits as its factorization.

148132800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 167 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 1536, while the sum is 27.

The square root of 148132800 is about 12170.9818831514. The cubic root of 148132800 is about 529.1154106085.

The spelling of 148132800 in words is "one hundred forty-eight million, one hundred thirty-two thousand, eight hundred".