146800020432 has 320 divisors, whose sum is σ = 439272884736. Its totient is φ = 41896673280.

The previous prime is 146800020421. The next prime is 146800020463. The reversal of 146800020432 is 234020008641.

146800020432 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a self number, because there is not a number n which added to its sum of digits gives 146800020432.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 63908308 + ... + 63910604.

Almost surely, 2^146800020432 is an apocalyptic number.

146800020432 is a gapful number since it is divisible by the number (12) 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 146800020432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (219636442368).

146800020432 is an abundant number, since it is smaller than the sum of its proper divisors (292472864304).

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

146800020432 is a wasteful number, since it uses less digits than its factorization.

146800020432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2478 (or 2472 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 30.

The spelling of 146800020432 in words is "one hundred forty-six billion, eight hundred million, twenty thousand, four hundred thirty-two".