145882220 has 48 divisors (see below), whose sum is σ = 339897600. Its totient is φ = 52144320.

The previous prime is 145882189. The next prime is 145882237. The reversal of 145882220 is 22288541.

It is a super-2 number, since 2×145882220² = 42563244224256800, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 7361 + ... + 18599.

It is an arithmetic number, because the mean of its divisors is an integer number (7081200).

Almost surely, 2^145882220 is an apocalyptic number.

145882220 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 145882220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169948800).

145882220 is an abundant number, since it is smaller than the sum of its proper divisors (194015380).

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

145882220 is a wasteful number, since it uses less digits than its factorization.

145882220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11318 (or 11316 counting only the distinct ones).

The product of its (nonzero) digits is 10240, while the sum is 32.

The square root of 145882220 is about 12078.1712191871. The cubic root of 145882220 is about 526.4221095701.

The spelling of 145882220 in words is "one hundred forty-five million, eight hundred eighty-two thousand, two hundred twenty".