146438560 has 48 divisors (see below), whose sum is σ = 350161056. Its totient is φ = 57864448.

The previous prime is 146438519. The next prime is 146438569. The reversal of 146438560 is 65834641.

It is a happy number.

It is a Smith number, since the sum of its digits (37) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (146438569) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 7767 + ... + 18793.

It is an arithmetic number, because the mean of its divisors is an integer number (7295022).

Almost surely, 2^146438560 is an apocalyptic number.

146438560 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 146438560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (175080528).

146438560 is an abundant number, since it is smaller than the sum of its proper divisors (203722496).

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

146438560 is a wasteful number, since it uses less digits than its factorization.

146438560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11125 (or 11117 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 37.

The square root of 146438560 is about 12101.1801077416. The cubic root of 146438560 is about 527.0904527603.

The spelling of 146438560 in words is "one hundred forty-six million, four hundred thirty-eight thousand, five hundred sixty".