148294400 has 216 divisors, whose sum is σ = 410598720. Its totient is φ = 52756480.

The previous prime is 148294379. The next prime is 148294427. The reversal of 148294400 is 4492841.

It is a Harshad number since it is a multiple of its sum of digits (32).

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 23 ways as a sum of consecutive naturals, for example, 3155177 + ... + 3155223.

It is an arithmetic number, because the mean of its divisors is an integer number (1900920).

Almost surely, 2^148294400 is an apocalyptic number.

148294400 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 148294400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (205299360).

148294400 is an abundant number, since it is smaller than the sum of its proper divisors (262304320).

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

148294400 is a wasteful number, since it uses less digits than its factorization.

148294400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 119 (or 100 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 32.

The square root of 148294400 is about 12177.6188148587. The cubic root of 148294400 is about 529.3077469812.

The spelling of 148294400 in words is "one hundred forty-eight million, two hundred ninety-four thousand, four hundred".