146264220 has 72 divisors (see below), whose sum is σ = 454512240. Its totient is φ = 38050560.

The previous prime is 146264201. The next prime is 146264227. The reversal of 146264220 is 22462641.

146264220 is a `hidden beast` number, since 14 + 6 + 2 + 642 + 2 + 0 = 666.

146264220 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (146264227) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2530 + ... + 17289.

It is an arithmetic number, because the mean of its divisors is an integer number (6312670).

Almost surely, 2^146264220 is an apocalyptic number.

146264220 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 146264220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (227256120).

146264220 is an abundant number, since it is smaller than the sum of its proper divisors (308248020).

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

146264220 is a wasteful number, since it uses less digits than its factorization.

146264220 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19875 (or 19870 counting only the distinct ones).

The product of its (nonzero) digits is 4608, while the sum is 27.

The square root of 146264220 is about 12093.9745327994. The cubic root of 146264220 is about 526.8811967627.

The spelling of 146264220 in words is "one hundred forty-six million, two hundred sixty-four thousand, two hundred twenty".