146329470 has 128 divisors (see below), whose sum is σ = 449971200. Its totient is φ = 33146496.

The previous prime is 146329459. The next prime is 146329481. The reversal of 146329470 is 74923641.

146329470 is a `hidden beast` number, since 14 + 632 + 9 + 4 + 7 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (146329459) and next prime (146329481).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 262432 + ... + 262988.

It is an arithmetic number, because the mean of its divisors is an integer number (3515400).

Almost surely, 2^146329470 is an apocalyptic number.

146329470 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 146329470, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (224985600).

146329470 is an abundant number, since it is smaller than the sum of its proper divisors (303641730).

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

146329470 is a wasteful number, since it uses less digits than its factorization.

146329470 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 719 (or 713 counting only the distinct ones).

The product of its (nonzero) digits is 36288, while the sum is 36.

The square root of 146329470 is about 12096.6718563413. The cubic root of 146329470 is about 526.9595341877.

The spelling of 146329470 in words is "one hundred forty-six million, three hundred twenty-nine thousand, four hundred seventy".