146196792 has 192 divisors, whose sum is σ = 497952000. Its totient is φ = 39517632.

The previous prime is 146196779. The next prime is 146196823. The reversal of 146196792 is 297691641.

It is a nude number because it is divisible by every one of its digits.

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 47 ways as a sum of consecutive naturals, for example, 200733 + ... + 201459.

It is an arithmetic number, because the mean of its divisors is an integer number (2593500).

Almost surely, 2^146196792 is an apocalyptic number.

146196792 is a gapful number since it is divisible by the number (12) 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 146196792, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (248976000).

146196792 is an abundant number, since it is smaller than the sum of its proper divisors (351755208).

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

146196792 is a wasteful number, since it uses less digits than its factorization.

146196792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 775 (or 758 counting only the distinct ones).

The product of its digits is 163296, while the sum is 45.

The square root of 146196792 is about 12091.1865422712. The cubic root of 146196792 is about 526.8002200071.

The spelling of 146196792 in words is "one hundred forty-six million, one hundred ninety-six thousand, seven hundred ninety-two".