145288 has 32 divisors (see below), whose sum is σ = 322560. Its totient is φ = 60480.

The previous prime is 145283. The next prime is 145289. The reversal of 145288 is 882541.

145288 = T₁₅₇ + T₁₅₈ + ... + T₁₆₇.

It is a super-2 number, since 2×145288² = 42217205888, which contains 22 as substring.

It is an Ulam number.

It is a plaindrome in base 16.

It is not an unprimeable number, because it can be changed into a prime (145283) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1081 + ... + 1207.

It is an arithmetic number, because the mean of its divisors is an integer number (10080).

2¹⁴⁵²⁸⁸ 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 145288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (161280).

145288 is an abundant number, since it is smaller than the sum of its proper divisors (177272).

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

145288 is a wasteful number, since it uses less digits than its factorization.

145288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 157 (or 153 counting only the distinct ones).

The product of its digits is 2560, while the sum is 28.

The square root of 145288 is about 381.1666302288. The cubic root of 145288 is about 52.5706380969.

It can be divided in two parts, 1452 and 88, that added together give a triangular number (1540 = T₅₅).

The spelling of 145288 in words is "one hundred forty-five thousand, two hundred eighty-eight".