145008480 has 96 divisors (see below), whose sum is σ = 458698464. Its totient is φ = 38506496.

The previous prime is 145008467. The next prime is 145008499. The reversal of 145008480 is 84800541.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 151684 + ... + 152636.

It is an arithmetic number, because the mean of its divisors is an integer number (4778109).

Almost surely, 2^145008480 is an apocalyptic number.

145008480 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 145008480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (229349232).

145008480 is an abundant number, since it is smaller than the sum of its proper divisors (313689984).

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

145008480 is a wasteful number, since it uses less digits than its factorization.

145008480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1288 (or 1280 counting only the distinct ones).

The product of its (nonzero) digits is 5120, while the sum is 30.

The square root of 145008480 is about 12041.9466864789. The cubic root of 145008480 is about 525.3690285267.

The spelling of 145008480 in words is "one hundred forty-five million, eight thousand, four hundred eighty".