145530 has 96 divisors (see below), whose sum is σ = 492480. Its totient is φ = 30240.

The previous prime is 145517. The next prime is 145531. The reversal of 145530 is 35541.

145530 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

145530 is a nontrivial binomial coefficient, being equal to C(540, 2).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145531) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13225 + ... + 13235.

It is an arithmetic number, because the mean of its divisors is an integer number (5130).

2¹⁴⁵⁵³⁰ is an apocalyptic number.

145530 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

145530 is the 539-th triangular number and also the 270-th hexagonal number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145530, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (246240).

145530 is an abundant number, since it is smaller than the sum of its proper divisors (346950).

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

145530 is a wasteful number, since it uses less digits than its factorization.

145530 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 300, while the sum is 18.

The square root of 145530 is about 381.4839446163. The cubic root of 145530 is about 52.5998101262.

It can be divided in two parts, 1455 and 30, that added together give a triangular number (1485 = T₅₄).

The spelling of 145530 in words is "one hundred forty-five thousand, five hundred thirty".