148308133478400 has 3060 divisors, whose sum is σ = 639158420216160. Its totient is φ = 32855084236800.

The previous prime is 148308133478377. The next prime is 148308133478423. The reversal of 148308133478400 is 4874331803841.

148308133478400 is a `hidden beast` number, since 1 + 4 + 8 + 30 + 8 + 133 + 4 + 78 + 400 = 666.

It is an interprime number because it is at equal distance from previous prime (148308133478377) and next prime (148308133478423).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 179 ways as a sum of consecutive naturals, for example, 2088846950365 + ... + 2088846950435.

Almost surely, 2^{148308133478400} is an apocalyptic number.

148308133478400 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 148308133478400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319579210108080).

148308133478400 is an abundant number, since it is smaller than the sum of its proper divisors (490850286737760).

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

148308133478400 is an frugal number, since it uses more digits than its factorization.

148308133478400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 206 (or 147 counting only the distinct ones).

The product of its (nonzero) digits is 6193152, while the sum is 54.

The spelling of 148308133478400 in words is "one hundred forty-eight trillion, three hundred eight billion, one hundred thirty-three million, four hundred seventy-eight thousand, four hundred".