145782 has 48 divisors (see below), whose sum is σ = 393120. Its totient is φ = 38016.

The previous prime is 145777. The next prime is 145799. The reversal of 145782 is 287541.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1594 + ... + 1682.

It is an arithmetic number, because the mean of its divisors is an integer number (8190).

2¹⁴⁵⁷⁸² is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145782, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (196560).

145782 is an abundant number, since it is smaller than the sum of its proper divisors (247338).

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

145782 is a wasteful number, since it uses less digits than its factorization.

145782 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117 (or 114 counting only the distinct ones).

The product of its digits is 2240, while the sum is 27.

The square root of 145782 is about 381.8140908872. The cubic root of 145782 is about 52.6301532596.

The spelling of 145782 in words is "one hundred forty-five thousand, seven hundred eighty-two".