146327040 has 320 divisors, whose sum is σ = 545054400. Its totient is φ = 37158912.

The previous prime is 146327009. The next prime is 146327047. The reversal of 146327040 is 40723641.

It is a tau number, because it is divible by the number of its divisors (320).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a junction number, because it is equal to n+sod(n) for n = 146326995 and 146327013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146327047) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2004444 + ... + 2004516.

It is an arithmetic number, because the mean of its divisors is an integer number (1703295).

Almost surely, 2^146327040 is an apocalyptic number.

146327040 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 146327040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (272527200).

146327040 is an abundant number, since it is smaller than the sum of its proper divisors (398727360).

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

146327040 is an equidigital number, since it uses as much as digits as its factorization.

146327040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 112 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 27.

The square root of 146327040 is about 12096.5714150746. The cubic root of 146327040 is about 526.9566172114.

The spelling of 146327040 in words is "one hundred forty-six million, three hundred twenty-seven thousand, forty".