146446080 has 144 divisors (see below), whose sum is σ = 510378624. Its totient is φ = 35491840.

The previous prime is 146446073. The next prime is 146446117. The reversal of 146446080 is 80644641.

It is a Harshad number since it is a multiple of its sum of digits (33).

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 15 ways as a sum of consecutive naturals, for example, 40507 + ... + 43973.

It is an arithmetic number, because the mean of its divisors is an integer number (3544296).

Almost surely, 2^146446080 is an apocalyptic number.

146446080 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 146446080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (255189312).

146446080 is an abundant number, since it is smaller than the sum of its proper divisors (363932544).

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

146446080 is a wasteful number, since it uses less digits than its factorization.

146446080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3502 (or 3488 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The square root of 146446080 is about 12101.4908172506. The cubic root of 146446080 is about 527.0994750933.

The spelling of 146446080 in words is "one hundred forty-six million, four hundred forty-six thousand, eighty".