145148220 has 384 divisors, whose sum is σ = 567705600. Its totient is φ = 30046464.

The previous prime is 145148209. The next prime is 145148233. The reversal of 145148220 is 22841541.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 3088237 + ... + 3088283.

It is an arithmetic number, because the mean of its divisors is an integer number (1478400).

Almost surely, 2^145148220 is an apocalyptic number.

145148220 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 145148220, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (283852800).

145148220 is an abundant number, since it is smaller than the sum of its proper divisors (422557380).

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

145148220 is a wasteful number, since it uses less digits than its factorization.

145148220 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 134 (or 126 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145148220 is about 12047.7475073144. The cubic root of 145148220 is about 525.5377347478.

Adding to 145148220 its reverse (22841541), we get a palindrome (167989761).

The spelling of 145148220 in words is "one hundred forty-five million, one hundred forty-eight thousand, two hundred twenty".