146933568 has 112 divisors (see below), whose sum is σ = 450860160. Its totient is φ = 46835712.

The previous prime is 146933557. The next prime is 146933569. The reversal of 146933568 is 865339641.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146933569) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 37896 + ... + 41592.

Almost surely, 2^146933568 is an apocalyptic number.

146933568 is a gapful number since it is divisible by the number (18) 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 146933568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (225430080).

146933568 is an abundant number, since it is smaller than the sum of its proper divisors (303926592).

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

146933568 is a wasteful number, since it uses less digits than its factorization.

146933568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3741 (or 3725 counting only the distinct ones).

The product of its digits is 466560, while the sum is 45.

The square root of 146933568 is about 12121.6157338863. The cubic root of 146933568 is about 527.6836948487.

The spelling of 146933568 in words is "one hundred forty-six million, nine hundred thirty-three thousand, five hundred sixty-eight".