145464 has 64 divisors (see below), whose sum is σ = 432000. Its totient is φ = 40320.

The previous prime is 145463. The next prime is 145471. The reversal of 145464 is 464541.

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

Its product of digits (1920) is a multiple of the sum of its prime divisors (64).

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 145464.

It is not an unprimeable number, because it can be changed into a prime (145463) 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 15 ways as a sum of consecutive naturals, for example, 5002 + ... + 5030.

It is an arithmetic number, because the mean of its divisors is an integer number (6750).

2¹⁴⁵⁴⁶⁴ 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 145464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (216000).

145464 is an abundant number, since it is smaller than the sum of its proper divisors (286536).

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

145464 is a wasteful number, since it uses less digits than its factorization.

145464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 68 (or 64 counting only the distinct ones).

The product of its digits is 1920, while the sum is 24.

The square root of 145464 is about 381.3974305105. The cubic root of 145464 is about 52.5918573275.

The spelling of 145464 in words is "one hundred forty-five thousand, four hundred sixty-four".