146561600 has 84 divisors (see below), whose sum is σ = 363778800. Its totient is φ = 58114560.

The previous prime is 146561599. The next prime is 146561627. The reversal of 146561600 is 6165641.

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 11 ways as a sum of consecutive naturals, for example, 222071 + ... + 222729.

It is an arithmetic number, because the mean of its divisors is an integer number (4330700).

Almost surely, 2^146561600 is an apocalyptic number.

146561600 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 146561600, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (181889400).

146561600 is an abundant number, since it is smaller than the sum of its proper divisors (217217200).

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

146561600 is a wasteful number, since it uses less digits than its factorization.

146561600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 820 (or 805 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 29.

The square root of 146561600 is about 12106.2628420169. The cubic root of 146561600 is about 527.2380346864.

The spelling of 146561600 in words is "one hundred forty-six million, five hundred sixty-one thousand, six hundred".