146343206033120 has 96 divisors (see below), whose sum is σ = 347551367375520. Its totient is φ = 58230591569920.

The previous prime is 146343206033119. The next prime is 146343206033147. The reversal of 146343206033120 is 21330602343641.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 23916791 + ... + 29405769.

It is an arithmetic number, because the mean of its divisors is an integer number (3620326743495).

Almost surely, 2^{146343206033120} is an apocalyptic number.

146343206033120 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 146343206033120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (173775683687760).

146343206033120 is an abundant number, since it is smaller than the sum of its proper divisors (201208161342400).

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

146343206033120 is a wasteful number, since it uses less digits than its factorization.

146343206033120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5489868 (or 5489860 counting only the distinct ones).

The product of its (nonzero) digits is 186624, while the sum is 38.

Adding to 146343206033120 its reverse (21330602343641), we get a palindrome (167673808376761).

The spelling of 146343206033120 in words is "one hundred forty-six trillion, three hundred forty-three billion, two hundred six million, thirty-three thousand, one hundred twenty".