145116 has 36 divisors (see below), whose sum is σ = 382200. Its totient is φ = 46368.

The previous prime is 145109. The next prime is 145121. The reversal of 145116 is 611541.

145116 is nontrivially palindromic in base 8.

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

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

It is a congruent number.

It is an unprimeable number.

145116 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, 975 + ... + 1113.

2¹⁴⁵¹¹⁶ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145116, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191100).

145116 is an abundant number, since it is smaller than the sum of its proper divisors (237084).

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

145116 is a wasteful number, since it uses less digits than its factorization.

145116 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 178 (or 173 counting only the distinct ones).

The product of its digits is 120, while the sum is 18.

The square root of 145116 is about 380.9409403044. The cubic root of 145116 is about 52.5498845584.

Adding to 145116 its reverse (611541), we get a palindrome (756657).

The spelling of 145116 in words is "one hundred forty-five thousand, one hundred sixteen".