146320129600 has 168 divisors, whose sum is σ = 365379426720. Its totient is φ = 57664696320.

The previous prime is 146320129583. The next prime is 146320129603. The reversal of 146320129600 is 6921023641.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (146320129603) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 43715127 + ... + 43718473.

It is an arithmetic number, because the mean of its divisors is an integer number (2174877540).

Almost surely, 2^146320129600 is an apocalyptic number.

146320129600 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 146320129600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (182689713360).

146320129600 is an abundant number, since it is smaller than the sum of its proper divisors (219059297120).

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

146320129600 is a wasteful number, since it uses less digits than its factorization.

146320129600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3765 (or 3750 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 34.

The spelling of 146320129600 in words is "one hundred forty-six billion, three hundred twenty million, one hundred twenty-nine thousand, six hundred".