148352400 has 405 divisors, whose sum is σ = 620239971. Its totient is φ = 32739840.

The previous prime is 148352359. The next prime is 148352411. The reversal of 148352400 is 4253841.

The square root of 148352400 is 12180.

It is a perfect power (a square), and thus also a powerful number.

148352400 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2039184 + 146313216 = 1428^2 + 12096^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 5115586 + ... + 5115614.

Almost surely, 2^148352400 is an apocalyptic number.

148352400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

148352400 is the 12180-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 148352400

148352400 is an abundant number, since it is smaller than the sum of its proper divisors (471887571).

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

148352400 is a wasteful number, since it uses less digits than its factorization.

148352400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 46 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 27.

The cubic root of 148352400 is about 529.3767445245.

The spelling of 148352400 in words is "one hundred forty-eight million, three hundred fifty-two thousand, four hundred".