146442912 has 144 divisors (see below), whose sum is σ = 483166656. Its totient is φ = 38016000.

The previous prime is 146442911. The next prime is 146442931. The reversal of 146442912 is 219244641.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is not an unprimeable number, because it can be changed into a prime (146442911) by changing a digit.

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, 80412 + ... + 82212.

It is an arithmetic number, because the mean of its divisors is an integer number (3355324).

Almost surely, 2^146442912 is an apocalyptic number.

146442912 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 146442912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (241583328).

146442912 is an abundant number, since it is smaller than the sum of its proper divisors (336723744).

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

146442912 is a wasteful number, since it uses less digits than its factorization.

146442912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1843 (or 1824 counting only the distinct ones).

The product of its digits is 13824, while the sum is 33.

The square root of 146442912 is about 12101.3599235788. The cubic root of 146442912 is about 527.0956742332.

The spelling of 146442912 in words is "one hundred forty-six million, four hundred forty-two thousand, nine hundred twelve".