146819318400 has 144 divisors (see below), whose sum is σ = 523885076910. Its totient is φ = 39151810560.

The previous prime is 146819318389. The next prime is 146819318423. The reversal of 146819318400 is 4813918641.

146819318400 is a `hidden beast` number, since 1 + 46 + 8 + 193 + 18 + 400 = 666.

It can be written as a sum of positive squares in 3 ways, for example, as 142648225344 + 4171093056 = 377688^2 + 64584^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 2520147 + ... + 2577746.

Almost surely, 2^146819318400 is an apocalyptic number.

146819318400 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146819318400 is an abundant number, since it is smaller than the sum of its proper divisors (377065758510).

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

146819318400 is a wasteful number, since it uses less digits than its factorization.

146819318400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5097923 (or 5097903 counting only the distinct ones).

The product of its (nonzero) digits is 165888, while the sum is 45.

The spelling of 146819318400 in words is "one hundred forty-six billion, eight hundred nineteen million, three hundred eighteen thousand, four hundred".