145968 has 20 divisors (see below), whose sum is σ = 377208. Its totient is φ = 48640.

The previous prime is 145967. The next prime is 145969. The reversal of 145968 is 869541.

145968 = T₁₂₇ + T₁₂₈ + ... + T₁₄₂.

It is an interprime number because it is at equal distance from previous prime (145967) and next prime (145969).

It is not an unprimeable number, because it can be changed into a prime (145963) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1473 + ... + 1568.

2¹⁴⁵⁹⁶⁸ is an apocalyptic number.

It is an amenable number.

145968 is an abundant number, since it is smaller than the sum of its proper divisors (231240).

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

145968 is a wasteful number, since it uses less digits than its factorization.

145968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3052 (or 3046 counting only the distinct ones).

The product of its digits is 8640, while the sum is 33.

The square root of 145968 is about 382.0575872823. The cubic root of 145968 is about 52.6525269596.

The spelling of 145968 in words is "one hundred forty-five thousand, nine hundred sixty-eight".