146716080 has 160 divisors (see below), whose sum is σ = 542536704. Its totient is φ = 32068608.

The previous prime is 146716061. The next prime is 146716099. The reversal of 146716080 is 80617641.

It is a happy number.

146716080 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (146716061) and next prime (146716099).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 36742 + ... + 40538.

Almost surely, 2^146716080 is an apocalyptic number.

146716080 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 146716080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (271268352).

146716080 is an abundant number, since it is smaller than the sum of its proper divisors (395820624).

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

146716080 is a wasteful number, since it uses less digits than its factorization.

146716080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3843 (or 3837 counting only the distinct ones).

The product of its (nonzero) digits is 8064, while the sum is 33.

The square root of 146716080 is about 12112.6413304448. The cubic root of 146716080 is about 527.4232108223.

The spelling of 146716080 in words is "one hundred forty-six million, seven hundred sixteen thousand, eighty".