145152 has 90 divisors (see below), whose sum is σ = 494648. Its totient is φ = 41472.

The previous prime is 145139. The next prime is 145177. The reversal of 145152 is 251541.

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

It is a nialpdrome in base 12.

It is a congruent number.

It is an unprimeable number.

145152 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 9 ways as a sum of consecutive naturals, for example, 20733 + ... + 20739.

2¹⁴⁵¹⁵² is an apocalyptic number.

145152 is a gapful number since it is divisible by the number (12) 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 145152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (247324).

145152 is an abundant number, since it is smaller than the sum of its proper divisors (349496).

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

145152 is an frugal number, since it uses more digits than its factorization.

145152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 35 (or 12 counting only the distinct ones).

The product of its digits is 200, while the sum is 18.

The square root of 145152 is about 380.9881887933. The cubic root of 145152 is about 52.5542296787.

Adding to 145152 its reverse (251541), we get a palindrome (396693).

The spelling of 145152 in words is "one hundred forty-five thousand, one hundred fifty-two".