146563340 has 96 divisors (see below), whose sum is σ = 404006400. Its totient is φ = 43269120.

The previous prime is 146563279. The next prime is 146563367. The reversal of 146563340 is 43365641.

146563340 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 146563297 and 146563306.

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 31 ways as a sum of consecutive naturals, for example, 26756 + ... + 31764.

It is an arithmetic number, because the mean of its divisors is an integer number (4208400).

Almost surely, 2^146563340 is an apocalyptic number.

146563340 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 146563340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (202003200).

146563340 is an abundant number, since it is smaller than the sum of its proper divisors (257443060).

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

146563340 is a wasteful number, since it uses less digits than its factorization.

146563340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5055 (or 5053 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 32.

The square root of 146563340 is about 12106.3347054342. The cubic root of 146563340 is about 527.2401211596.

The spelling of 146563340 in words is "one hundred forty-six million, five hundred sixty-three thousand, three hundred forty".