145580480 has 56 divisors (see below), whose sum is σ = 348112080. Its totient is φ = 57989120.

The previous prime is 145580471. The next prime is 145580483. The reversal of 145580480 is 84085541.

It is a hoax number, since the sum of its digits (35) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 145580480.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (145580483) by changing a digit.

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 7 ways as a sum of consecutive naturals, for example, 89111 + ... + 90729.

Almost surely, 2^145580480 is an apocalyptic number.

145580480 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 145580480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174056040).

145580480 is an abundant number, since it is smaller than the sum of its proper divisors (202531600).

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

145580480 is a wasteful number, since it uses less digits than its factorization.

145580480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1917 (or 1907 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 35.

The square root of 145580480 is about 12065.6736239631. The cubic root of 145580480 is about 526.0589118959.

The spelling of 145580480 in words is "one hundred forty-five million, five hundred eighty thousand, four hundred eighty".