145392 has 40 divisors (see below), whose sum is σ = 406224. Its totient is φ = 44544.

The previous prime is 145391. The next prime is 145399. The reversal of 145392 is 293541.

It is a super-2 number, since 2×145392² = 42277667328, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a d-powerful number, because it can be written as 1 + 4² + 3¹⁰ + 5⁷ + 9 + 2¹³ .

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145392.

It is not an unprimeable number, because it can be changed into a prime (145391) 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, 508 + ... + 740.

2¹⁴⁵³⁹² is an apocalyptic number.

145392 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 145392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (203112).

145392 is an abundant number, since it is smaller than the sum of its proper divisors (260832).

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

145392 is a wasteful number, since it uses less digits than its factorization.

145392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 257 (or 251 counting only the distinct ones).

The product of its digits is 1080, while the sum is 24.

The square root of 145392 is about 381.3030290989. The cubic root of 145392 is about 52.5831788030.

It can be divided in two parts, 14539 and 2, that added together give a palindrome (14541).

The spelling of 145392 in words is "one hundred forty-five thousand, three hundred ninety-two".