145238128 has 80 divisors (see below), whose sum is σ = 341763840. Its totient is φ = 58406400.

The previous prime is 145238081. The next prime is 145238129. The reversal of 145238128 is 821832541.

It is a happy number.

145238128 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145238128² = 42188227649888768, which contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 145238093 and 145238102.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145238129) 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, 278508 + ... + 279028.

It is an arithmetic number, because the mean of its divisors is an integer number (4272048).

Almost surely, 2^145238128 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145238128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (170881920).

145238128 is an abundant number, since it is smaller than the sum of its proper divisors (196525712).

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

145238128 is a wasteful number, since it uses less digits than its factorization.

145238128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 686 (or 680 counting only the distinct ones).

The product of its digits is 15360, while the sum is 34.

The square root of 145238128 is about 12051.4782495759. The cubic root of 145238128 is about 525.6462222284.

The spelling of 145238128 in words is "one hundred forty-five million, two hundred thirty-eight thousand, one hundred twenty-eight".