145484880 has 80 divisors (see below), whose sum is σ = 466577280. Its totient is φ = 37456384.

The previous prime is 145484863. The next prime is 145484917. The reversal of 145484880 is 88484541.

It is a tau number, because it is divible by the number of its divisors (80).

It is a super-2 number, since 2×145484880² = 42331700617228800, which contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3492 + ... + 17411.

It is an arithmetic number, because the mean of its divisors is an integer number (5832216).

Almost surely, 2^145484880 is an apocalyptic number.

145484880 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 145484880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233288640).

145484880 is an abundant number, since it is smaller than the sum of its proper divisors (321092400).

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

145484880 is a wasteful number, since it uses less digits than its factorization.

145484880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20948 (or 20942 counting only the distinct ones).

The product of its (nonzero) digits is 163840, while the sum is 42.

The square root of 145484880 is about 12061.7113213673. The cubic root of 145484880 is about 525.9437356387.

The spelling of 145484880 in words is "one hundred forty-five million, four hundred eighty-four thousand, eight hundred eighty".