146376206400 has 168 divisors, whose sum is σ = 480437464320. Its totient is φ = 39017277440.

The previous prime is 146376206369. The next prime is 146376206407. The reversal of 146376206400 is 4602673641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146376206407) by changing a digit.

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 23 ways as a sum of consecutive naturals, for example, 15196786 + ... + 15206414.

Almost surely, 2^146376206400 is an apocalyptic number.

146376206400 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 146376206400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (240218732160).

146376206400 is an abundant number, since it is smaller than the sum of its proper divisors (334061257920).

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

146376206400 is a wasteful number, since it uses less digits than its factorization.

146376206400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12821 (or 12806 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 39.

The spelling of 146376206400 in words is "one hundred forty-six billion, three hundred seventy-six million, two hundred six thousand, four hundred".