146462496 has 96 divisors (see below), whose sum is σ = 398297088. Its totient is φ = 47093760.

The previous prime is 146462483. The next prime is 146462513. The reversal of 146462496 is 694264641.

146462496 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (42) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

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 15 ways as a sum of consecutive naturals, for example, 499726 + ... + 500018.

It is an arithmetic number, because the mean of its divisors is an integer number (4148928).

Almost surely, 2^146462496 is an apocalyptic number.

146462496 is a gapful number since it is divisible by the number (16) 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 146462496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199148544).

146462496 is an abundant number, since it is smaller than the sum of its proper divisors (251834592).

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

146462496 is a wasteful number, since it uses less digits than its factorization.

146462496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 474 (or 466 counting only the distinct ones).

The product of its digits is 248832, while the sum is 42.

The square root of 146462496 is about 12102.1690617839. The cubic root of 146462496 is about 527.1191695813.

The spelling of 146462496 in words is "one hundred forty-six million, four hundred sixty-two thousand, four hundred ninety-six".