145890 has 24 divisors (see below), whose sum is σ = 379548. Its totient is φ = 38880.

The previous prime is 145879. The next prime is 145897. The reversal of 145890 is 98541.

145890 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 2 ways, for example, as 145161 + 729 = 381^2 + 27^2 .

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (145897) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 721 + ... + 900.

2¹⁴⁵⁸⁹⁰ is an apocalyptic number.

145890 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145890 is an abundant number, since it is smaller than the sum of its proper divisors (233658).

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

145890 is a wasteful number, since it uses less digits than its factorization.

145890 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1634 (or 1631 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

The square root of 145890 is about 381.9554947896. The cubic root of 145890 is about 52.6431467556.

It can be divided in two parts, 145 and 890, that added together give a triangular number (1035 = T₄₅).

The spelling of 145890 in words is "one hundred forty-five thousand, eight hundred ninety".