145180 has 48 divisors (see below), whose sum is σ = 374976. Its totient is φ = 46080.

The previous prime is 145177. The next prime is 145193. The reversal of 145180 is 81541.

145180 = T₈₃ + T₈₄ + ... + T₁₁₂.

145180 = 141² + 142² + ... + 147².

145180 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2350 + ... + 2410.

It is an arithmetic number, because the mean of its divisors is an integer number (7812).

2¹⁴⁵¹⁸⁰ is an apocalyptic number.

145180 is a gapful number since it is divisible by the number (10) 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 145180, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (187488).

145180 is an abundant number, since it is smaller than the sum of its proper divisors (229796).

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

145180 is a wasteful number, since it uses less digits than its factorization.

145180 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 94 (or 92 counting only the distinct ones).

The product of its (nonzero) digits is 160, while the sum is 19.

The square root of 145180 is about 381.0249335673. The cubic root of 145180 is about 52.5576087200.

Subtracting from 145180 its sum of digits (19), we obtain a square (145161 = 381²).

It can be divided in two parts, 145 and 180, that added together give a triangular number (325 = T₂₅).

The spelling of 145180 in words is "one hundred forty-five thousand, one hundred eighty".