145296 has 30 divisors (see below), whose sum is σ = 407030. Its totient is φ = 48384.

The previous prime is 145289. The next prime is 145303. The reversal of 145296 is 692541.

145296 is nontrivially palindromic in base 5.

It is an interprime number because it is at equal distance from previous prime (145289) and next prime (145303).

It can be written as a sum of positive squares in only one way, i.e., 112896 + 32400 = 336^2 + 180^2 .

It is a super-2 number, since 2×145296² = 42221855232, which contains 22 as substring.

It is an alternating number because its digits alternate between odd and even.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 145296.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 361 + ... + 648.

2¹⁴⁵²⁹⁶ is an apocalyptic number.

145296 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

145296 is an abundant number, since it is smaller than the sum of its proper divisors (261734).

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

145296 is a wasteful number, since it uses less digits than its factorization.

145296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1023 (or 1014 counting only the distinct ones).

The product of its digits is 2160, while the sum is 27.

The square root of 145296 is about 381.1771241824. The cubic root of 145296 is about 52.5716029790.

Adding to 145296 its product of digits (2160), we get a square (147456 = 384²).

It can be divided in two parts, 14529 and 6, that added together give a triangular number (14535 = T₁₇₀).

The spelling of 145296 in words is "one hundred forty-five thousand, two hundred ninety-six".