146041304320 has 288 divisors, whose sum is σ = 379781740800. Its totient is φ = 53604384768.

The previous prime is 146041304317. The next prime is 146041304347. The reversal of 146041304320 is 23403140641.

It is a congruent number.

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 31 ways as a sum of consecutive naturals, for example, 158912821 + ... + 158913739.

It is an arithmetic number, because the mean of its divisors is an integer number (1318686600).

Almost surely, 2^146041304320 is an apocalyptic number.

146041304320 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 146041304320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (189890870400).

146041304320 is an abundant number, since it is smaller than the sum of its proper divisors (233740436480).

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

146041304320 is a wasteful number, since it uses less digits than its factorization.

146041304320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1133 (or 1119 counting only the distinct ones).

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

Adding to 146041304320 its reverse (23403140641), we get a palindrome (169444444961).

The spelling of 146041304320 in words is "one hundred forty-six billion, forty-one million, three hundred four thousand, three hundred twenty".