145188 has 36 divisors (see below), whose sum is σ = 380380. Its totient is φ = 46656.

The previous prime is 145177. The next prime is 145193. The reversal of 145188 is 881541.

It can be written as a sum of positive squares in 2 ways, for example, as 116964 + 28224 = 342^2 + 168^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a congruent number.

It is an unprimeable number.

145188 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1278 + ... + 1386.

2¹⁴⁵¹⁸⁸ is an apocalyptic number.

145188 is a gapful number since it is divisible by the number (18) 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 145188, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (190190).

145188 is an abundant number, since it is smaller than the sum of its proper divisors (235192).

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

145188 is a wasteful number, since it uses less digits than its factorization.

145188 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 156 (or 151 counting only the distinct ones).

The product of its digits is 1280, while the sum is 27.

The square root of 145188 is about 381.0354314234. The cubic root of 145188 is about 52.5585740806.

Subtracting from 145188 its sum of digits (27), we obtain a square (145161 = 381²).

It can be divided in two parts, 145 and 188, that added together give a palindrome (333).

The spelling of 145188 in words is "one hundred forty-five thousand, one hundred eighty-eight".