146300122320 has 480 divisors, whose sum is σ = 523055522304. Its totient is φ = 33762263040.

The previous prime is 146300122307. The next prime is 146300122373. The reversal of 146300122320 is 23221003641.

It is a Harshad number since it is a multiple of its sum of digits (24).

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 95 ways as a sum of consecutive naturals, for example, 50499112 + ... + 50502008.

Almost surely, 2^146300122320 is an apocalyptic number.

146300122320 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 146300122320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (261527761152).

146300122320 is an abundant number, since it is smaller than the sum of its proper divisors (376755399984).

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

146300122320 is a wasteful number, since it uses less digits than its factorization.

146300122320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3019 (or 3002 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 24.

Adding to 146300122320 its reverse (23221003641), we get a palindrome (169521125961).

The spelling of 146300122320 in words is "one hundred forty-six billion, three hundred million, one hundred twenty-two thousand, three hundred twenty".