146107728 has 60 divisors (see below), whose sum is σ = 440358100. Its totient is φ = 44955648.

The previous prime is 146107691. The next prime is 146107729. The reversal of 146107728 is 827701641.

146107728 is a `hidden beast` number, since 14 + 610 + 7 + 7 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 27123264 + 118984464 = 5208^2 + 10908^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 146107692 and 146107701.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146107729) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 37153 + ... + 40896.

Almost surely, 2^146107728 is an apocalyptic number.

146107728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146107728 is an abundant number, since it is smaller than the sum of its proper divisors (294250372).

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

146107728 is a wasteful number, since it uses less digits than its factorization.

146107728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 78076 (or 78067 counting only the distinct ones).

The product of its (nonzero) digits is 18816, while the sum is 36.

The square root of 146107728 is about 12087.5029679417. The cubic root of 146107728 is about 526.6932216132.

The spelling of 146107728 in words is "one hundred forty-six million, one hundred seven thousand, seven hundred twenty-eight".