145264 has 20 divisors (see below), whose sum is σ = 321904. Its totient is φ = 62208.

The previous prime is 145259. The next prime is 145267. The reversal of 145264 is 462541.

145264 = T₁₃₇ + T₁₃₈ + ... + T₁₅₀.

145264 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×145264² = 42203259392, which contains 22 as substring.

It is a d-powerful number, because it can be written as 1 + 4⁶ + 2 + 5⁷ + 6⁶ + 4⁷ .

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145267) by changing a digit.

145264 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 3 ways as a sum of consecutive naturals, for example, 537 + ... + 760.

2¹⁴⁵²⁶⁴ is an apocalyptic number.

145264 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

145264 is an abundant number, since it is smaller than the sum of its proper divisors (176640).

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

145264 is a wasteful number, since it uses less digits than its factorization.

145264 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1312 (or 1306 counting only the distinct ones).

The product of its digits is 960, while the sum is 22.

The square root of 145264 is about 381.1351466344. The cubic root of 145264 is about 52.5677432379.

The spelling of 145264 in words is "one hundred forty-five thousand, two hundred sixty-four".