146203620400 has 120 divisors (see below), whose sum is σ = 361383588720. Its totient is φ = 56800558080.

The previous prime is 146203620361. The next prime is 146203620413. The reversal of 146203620400 is 4026302641.

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 23 ways as a sum of consecutive naturals, for example, 8679186 + ... + 8696014.

It is an arithmetic number, because the mean of its divisors is an integer number (3011529906).

Almost surely, 2^146203620400 is an apocalyptic number.

146203620400 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 146203620400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (180691794360).

146203620400 is an abundant number, since it is smaller than the sum of its proper divisors (215179968320).

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

146203620400 is a wasteful number, since it uses less digits than its factorization.

146203620400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17471 (or 17460 counting only the distinct ones).

The product of its (nonzero) digits is 6912, while the sum is 28.

The spelling of 146203620400 in words is "one hundred forty-six billion, two hundred three million, six hundred twenty thousand, four hundred".