146350080 has 168 divisors, whose sum is σ = 508593852. Its totient is φ = 38928384.

The previous prime is 146350073. The next prime is 146350109. The reversal of 146350080 is 80053641.

It can be written as a sum of positive squares in 2 ways, for example, as 146313216 + 36864 = 12096^2 + 192^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 368442 + ... + 368838.

Almost surely, 2^146350080 is an apocalyptic number.

146350080 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 146350080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (254296926).

146350080 is an abundant number, since it is smaller than the sum of its proper divisors (362243772).

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

146350080 is an equidigital number, since it uses as much as digits as its factorization.

146350080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 434 (or 407 counting only the distinct ones).

The product of its (nonzero) digits is 2880, while the sum is 27.

The square root of 146350080 is about 12097.5237135539. The cubic root of 146350080 is about 526.9842731691.

The spelling of 146350080 in words is "one hundred forty-six million, three hundred fifty thousand, eighty".