145080768 has 112 divisors (see below), whose sum is σ = 447852800. Its totient is φ = 41432832.

The previous prime is 145080739. The next prime is 145080773. The reversal of 145080768 is 867080541.

It is a tau number, because it is divible by the number of its divisors (112).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 64755 + ... + 66957.

Almost surely, 2^145080768 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 145080768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (223926400).

145080768 is an abundant number, since it is smaller than the sum of its proper divisors (302772032).

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

145080768 is an equidigital number, since it uses as much as digits as its factorization.

145080768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2239 (or 2215 counting only the distinct ones).

The product of its (nonzero) digits is 53760, while the sum is 39.

The square root of 145080768 is about 12044.9478205595. The cubic root of 145080768 is about 525.4563143813.

The spelling of 145080768 in words is "one hundred forty-five million, eighty thousand, seven hundred sixty-eight".