146728980 has 72 divisors (see below), whose sum is σ = 460441800. Its totient is φ = 37777152.

The previous prime is 146728979. The next prime is 146728999. The reversal of 146728980 is 89827641.

It can be written as a sum of positive squares in 4 ways, for example, as 125316 + 146603664 = 354^2 + 12108^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8835 + ... + 19274.

It is an arithmetic number, because the mean of its divisors is an integer number (6395025).

Almost surely, 2^146728980 is an apocalyptic number.

146728980 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

146728980 is an abundant number, since it is smaller than the sum of its proper divisors (313712820).

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

146728980 is a wasteful number, since it uses less digits than its factorization.

146728980 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28153 (or 28148 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The square root of 146728980 is about 12113.1738202669. The cubic root of 146728980 is about 527.4386682510.

The spelling of 146728980 in words is "one hundred forty-six million, seven hundred twenty-eight thousand, nine hundred eighty".