146304270336 has 288 divisors, whose sum is σ = 465465305088. Its totient is φ = 39966474240.

The previous prime is 146304270323. The next prime is 146304270337. The reversal of 146304270336 is 633072403641.

It is a junction number, because it is equal to n+sod(n) for n = 146304270294 and 146304270303.

It is not an unprimeable number, because it can be changed into a prime (146304270337) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 63306621 + ... + 63308931.

It is an arithmetic number, because the mean of its divisors is an integer number (1616198976).

Almost surely, 2^146304270336 is an apocalyptic number.

146304270336 is a gapful number since it is divisible by the number (16) 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 146304270336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (232732652544).

146304270336 is an abundant number, since it is smaller than the sum of its proper divisors (319161034752).

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

146304270336 is an frugal number, since it uses more digits than its factorization.

146304270336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2378 (or 2346 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 39.

Adding to 146304270336 its reverse (633072403641), we get a palindrome (779376673977).

The spelling of 146304270336 in words is "one hundred forty-six billion, three hundred four million, two hundred seventy thousand, three hundred thirty-six".