146870080 has 112 divisors (see below), whose sum is σ = 403067520. Its totient is φ = 49932288.

The previous prime is 146870051. The next prime is 146870081. The reversal of 146870080 is 80078641.

It is a happy number.

146870080 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 (112).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146870081) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 387331 + ... + 387709.

Almost surely, 2^146870080 is an apocalyptic number.

146870080 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 146870080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201533760).

146870080 is an abundant number, since it is smaller than the sum of its proper divisors (256197440).

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

146870080 is a wasteful number, since it uses less digits than its factorization.

146870080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 576 (or 566 counting only the distinct ones).

The product of its (nonzero) digits is 10752, while the sum is 34.

The square root of 146870080 is about 12118.9966581396. The cubic root of 146870080 is about 527.6076822460.

The spelling of 146870080 in words is "one hundred forty-six million, eight hundred seventy thousand, eighty".