146949200 has 60 divisors (see below), whose sum is σ = 362623740. Its totient is φ = 57185280.

The previous prime is 146949191. The next prime is 146949217. The reversal of 146949200 is 2949641.

It can be written as a sum of positive squares in 6 ways, for example, as 732736 + 146216464 = 856^2 + 12092^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 9836 + ... + 19764.

It is an arithmetic number, because the mean of its divisors is an integer number (6043729).

Almost surely, 2^146949200 is an apocalyptic number.

146949200 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 146949200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181311870).

146949200 is an abundant number, since it is smaller than the sum of its proper divisors (215674540).

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

146949200 is a wasteful number, since it uses less digits than its factorization.

146949200 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9984 (or 9973 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 35.

The square root of 146949200 is about 12122.2605152669. The cubic root of 146949200 is about 527.7024072939.

The spelling of 146949200 in words is "one hundred forty-six million, nine hundred forty-nine thousand, two hundred".