145684 has 36 divisors (see below), whose sum is σ = 327712. Its totient is φ = 55440.

The previous prime is 145681. The next prime is 145687. The reversal of 145684 is 486541.

It is an interprime number because it is at equal distance from previous prime (145681) and next prime (145687).

It is a super-4 number, since 4×145684⁴ (a number of 22 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (28).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145681) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 3367 + ... + 3409.

2¹⁴⁵⁶⁸⁴ is an apocalyptic number.

145684 is a gapful number since it is divisible by the number (14) 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 145684, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (163856).

145684 is an abundant number, since it is smaller than the sum of its proper divisors (182028).

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

145684 is a wasteful number, since it uses less digits than its factorization.

145684 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 76 (or 63 counting only the distinct ones).

The product of its digits is 3840, while the sum is 28.

The square root of 145684 is about 381.6857346037. The cubic root of 145684 is about 52.6183573104.

It can be divided in two parts, 1456 and 84, that added together give a triangular number (1540 = T₅₅).

The spelling of 145684 in words is "one hundred forty-five thousand, six hundred eighty-four".