145680480 has 288 divisors, whose sum is σ = 575291808. Its totient is φ = 33177600.

The previous prime is 145680473. The next prime is 145680511. The reversal of 145680480 is 84086541.

145680480 is a `hidden beast` number, since 14 + 568 + 0 + 4 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 269010 + ... + 269550.

It is an arithmetic number, because the mean of its divisors is an integer number (1997541).

Almost surely, 2^145680480 is an apocalyptic number.

145680480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145680480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287645904).

145680480 is an abundant number, since it is smaller than the sum of its proper divisors (429611328).

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

145680480 is a wasteful number, since it uses less digits than its factorization.

145680480 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 590 (or 579 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The square root of 145680480 is about 12069.8169000197. The cubic root of 145680480 is about 526.1793352080.

It can be divided in two parts, 145 and 680480, that added together give a square (680625 = 825²).

The spelling of 145680480 in words is "one hundred forty-five million, six hundred eighty thousand, four hundred eighty".