146701728 has 72 divisors (see below), whose sum is σ = 435341088. Its totient is φ = 46772352.

The previous prime is 146701727. The next prime is 146701729. The reversal of 146701728 is 827107641.

It is an interprime number because it is at equal distance from previous prime (146701727) and next prime (146701729).

It is a tau number, because it is divible by the number of its divisors (72).

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 = 146701692 and 146701701.

It is not an unprimeable number, because it can be changed into a prime (146701727) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4450 + ... + 17697.

It is an arithmetic number, because the mean of its divisors is an integer number (6046404).

Almost surely, 2^146701728 is an apocalyptic number.

146701728 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

146701728 is an abundant number, since it is smaller than the sum of its proper divisors (288639360).

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

146701728 is a wasteful number, since it uses less digits than its factorization.

146701728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22186 (or 22175 counting only the distinct ones).

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

The square root of 146701728 is about 12112.0488770480. The cubic root of 146701728 is about 527.4060124694.

The spelling of 146701728 in words is "one hundred forty-six million, seven hundred one thousand, seven hundred twenty-eight".