145648820 has 24 divisors (see below), whose sum is σ = 306840744. Its totient is φ = 58073216.

The previous prime is 145648799. The next prime is 145648829. The reversal of 145648820 is 28846541.

It is a happy number.

145648820 is digitally balanced in base 2, 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 4 ways, for example, as 1024144 + 144624676 = 1012^2 + 12026^2 .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145648829) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 5147 + ... + 17826.

It is an arithmetic number, because the mean of its divisors is an integer number (12785031).

Almost surely, 2^145648820 is an apocalyptic number.

145648820 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

145648820 is an abundant number, since it is smaller than the sum of its proper divisors (161191924).

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

145648820 is a wasteful number, since it uses less digits than its factorization.

145648820 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 23299 (or 23297 counting only the distinct ones).

The product of its (nonzero) digits is 61440, while the sum is 38.

The square root of 145648820 is about 12068.5052927030. The cubic root of 145648820 is about 526.1412151508.

The spelling of 145648820 in words is "one hundred forty-five million, six hundred forty-eight thousand, eight hundred twenty".