146676096 has 320 divisors, whose sum is σ = 521326080. Its totient is φ = 40061952.

The previous prime is 146676059. The next prime is 146676137. The reversal of 146676096 is 690676641.

It is a happy number.

It is a congruent number.

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 39 ways as a sum of consecutive naturals, for example, 3120745 + ... + 3120791.

It is an arithmetic number, because the mean of its divisors is an integer number (1629144).

Almost surely, 2^146676096 is an apocalyptic number.

146676096 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 146676096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (260663040).

146676096 is an abundant number, since it is smaller than the sum of its proper divisors (374649984).

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

146676096 is an equidigital number, since it uses as much as digits as its factorization.

146676096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 123 (or 102 counting only the distinct ones).

The product of its (nonzero) digits is 326592, while the sum is 45.

The square root of 146676096 is about 12110.9907109204. The cubic root of 146676096 is about 527.3752942257.

The spelling of 146676096 in words is "one hundred forty-six million, six hundred seventy-six thousand, ninety-six".