146992200 has 96 divisors (see below), whose sum is σ = 482513760. Its totient is φ = 36889600.

The previous prime is 146992199. The next prime is 146992211. The reversal of 146992200 is 2299641.

146992200 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2995 + ... + 17405.

It is an arithmetic number, because the mean of its divisors is an integer number (5026185).

Almost surely, 2^146992200 is an apocalyptic number.

146992200 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 146992200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241256880).

146992200 is an abundant number, since it is smaller than the sum of its proper divisors (335521560).

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

146992200 is a wasteful number, since it uses less digits than its factorization.

146992200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14447 (or 14438 counting only the distinct ones).

The product of its (nonzero) digits is 7776, while the sum is 33.

The square root of 146992200 is about 12124.0339821365. The cubic root of 146992200 is about 527.7538740379.

The spelling of 146992200 in words is "one hundred forty-six million, nine hundred ninety-two thousand, two hundred".