146808096 has 48 divisors (see below), whose sum is σ = 386416800. Its totient is φ = 48803328.

The previous prime is 146808083. The next prime is 146808133. The reversal of 146808096 is 690808641.

146808096 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 (48).

It is a super-2 number, since 2×146808096² = 43105234102290432, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 37395 + ... + 41133.

It is an arithmetic number, because the mean of its divisors is an integer number (8050350).

Almost surely, 2^146808096 is an apocalyptic number.

146808096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

146808096 is an abundant number, since it is smaller than the sum of its proper divisors (239608704).

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

146808096 is a wasteful number, since it uses less digits than its factorization.

146808096 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4161 (or 4153 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 42.

The square root of 146808096 is about 12116.4390808521. The cubic root of 146808096 is about 527.5334492090.

The spelling of 146808096 in words is "one hundred forty-six million, eight hundred eight thousand, ninety-six".