146755220 has 48 divisors (see below), whose sum is σ = 327308688. Its totient is φ = 55080960.

The previous prime is 146755207. The next prime is 146755223. The reversal of 146755220 is 22557641.

146755220 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 1263376 + 145491844 = 1124^2 + 12062^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146755223) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 221690 + ... + 222350.

It is an arithmetic number, because the mean of its divisors is an integer number (6818931).

Almost surely, 2^146755220 is an apocalyptic number.

146755220 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 146755220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163654344).

146755220 is an abundant number, since it is smaller than the sum of its proper divisors (180553468).

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

146755220 is a wasteful number, since it uses less digits than its factorization.

146755220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1340 (or 1338 counting only the distinct ones).

The product of its (nonzero) digits is 16800, while the sum is 32.

The square root of 146755220 is about 12114.2568901274. The cubic root of 146755220 is about 527.4701075429.

The spelling of 146755220 in words is "one hundred forty-six million, seven hundred fifty-five thousand, two hundred twenty".