146506197120 has 256 divisors, whose sum is σ = 492059750400. Its totient is φ = 36974997504.

The previous prime is 146506197083. The next prime is 146506197161. The reversal of 146506197120 is 21791605641.

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, 66501939 + ... + 66504141.

It is an arithmetic number, because the mean of its divisors is an integer number (1922108400).

Almost surely, 2^146506197120 is an apocalyptic number.

146506197120 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 146506197120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246029875200).

146506197120 is an abundant number, since it is smaller than the sum of its proper divisors (345553553280).

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

146506197120 is a wasteful number, since it uses less digits than its factorization.

146506197120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4067 (or 4055 counting only the distinct ones).

The product of its (nonzero) digits is 90720, while the sum is 42.

The spelling of 146506197120 in words is "one hundred forty-six billion, five hundred six million, one hundred ninety-seven thousand, one hundred twenty".