148491878400 has 720 divisors, whose sum is σ = 565584633600. Its totient is φ = 38149816320.

The previous prime is 148491878357. The next prime is 148491878401. The reversal of 148491878400 is 4878194841.

148491878400 is a `hidden beast` number, since 1 + 4 + 84 + 91 + 8 + 78 + 400 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (148491878401) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 320716569 + ... + 320717031.

Almost surely, 2^148491878400 is an apocalyptic number.

148491878400 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 148491878400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (282792316800).

148491878400 is an abundant number, since it is smaller than the sum of its proper divisors (417092755200).

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

148491878400 is an equidigital number, since it uses as much as digits as its factorization.

148491878400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 539 (or 502 counting only the distinct ones).

The product of its (nonzero) digits is 2064384, while the sum is 54.

The spelling of 148491878400 in words is "one hundred forty-eight billion, four hundred ninety-one million, eight hundred seventy-eight thousand, four hundred".